1131640602624 has 1440 divisors, whose sum is σ = 4292466514560. Its totient is φ = 292514955264.

The previous prime is 1131640602611. The next prime is 1131640602637. The reversal of 1131640602624 is 4262060461311.

1131640602624 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 6 + 40 + 602 + 6 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1131640602611) and next prime (1131640602637).

It is a super-2 number, since 2×1131640602624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13634224087 + ... + 13634224169.

It is an arithmetic number, because the mean of its divisors is an integer number (2980879524).

Almost surely, 2^{1131640602624} is an apocalyptic number.

1131640602624 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 1131640602624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146233257280).

1131640602624 is an abundant number, since it is smaller than the sum of its proper divisors (3160825911936).

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

1131640602624 is an equidigital number, since it uses as much as digits as its factorization.

1131640602624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1131640602624 in words is "one trillion, one hundred thirty-one billion, six hundred forty million, six hundred two thousand, six hundred twenty-four".