1187129466432 has 672 divisors, whose sum is σ = 4380482211840. Its totient is φ = 312483225600.

The previous prime is 1187129466403. The next prime is 1187129466437. The reversal of 1187129466432 is 2346649217811.

1187129466432 is a `hidden beast` number, since 1 + 1 + 87 + 129 + 4 + 6 + 6 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1187129466432² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1187129466437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1031389057 + ... + 1031390207.

It is an arithmetic number, because the mean of its divisors is an integer number (6518574720).

Almost surely, 2^{1187129466432} is an apocalyptic number.

1187129466432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1187129466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190241105920).

1187129466432 is an abundant number, since it is smaller than the sum of its proper divisors (3193352745408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1187129466432 is a wasteful number, since it uses less digits than its factorization.

1187129466432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2113 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

It can be divided in two parts, 1187129 and 466432, that added together give a palindrome (1653561).

The spelling of 1187129466432 in words is "one trillion, one hundred eighty-seven billion, one hundred twenty-nine million, four hundred sixty-six thousand, four hundred thirty-two".