1187477129664 has 560 divisors, whose sum is σ = 4088128516640. Its totient is φ = 337983528960.

The previous prime is 1187477129659. The next prime is 1187477129669. The reversal of 1187477129664 is 4669217747811.

1187477129664 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 477 + 12 + 96 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1187477129659) and next prime (1187477129669).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187477129669) 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 79 ways as a sum of consecutive naturals, for example, 1796485494 + ... + 1796486154.

It is an arithmetic number, because the mean of its divisors is an integer number (7300229494).

Almost surely, 2^{1187477129664} is an apocalyptic number.

1187477129664 is a gapful number since it is divisible by the number (14) 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 1187477129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044064258320).

1187477129664 is an abundant number, since it is smaller than the sum of its proper divisors (2900651386976).

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

1187477129664 is an frugal number, since it uses more digits than its factorization.

1187477129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1106 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 1187477129664 in words is "one trillion, one hundred eighty-seven billion, four hundred seventy-seven million, one hundred twenty-nine thousand, six hundred sixty-four".