1137907609344 has 1152 divisors, whose sum is σ = 4045157760000. Its totient is φ = 311736729600.

The previous prime is 1137907609313. The next prime is 1137907609457. The reversal of 1137907609344 is 4439067097311.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1137907609344² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3260480082 + ... + 3260480430.

Almost surely, 2^{1137907609344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137907609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022578880000).

1137907609344 is an abundant number, since it is smaller than the sum of its proper divisors (2907250150656).

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

1137907609344 is a wasteful number, since it uses less digits than its factorization.

1137907609344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 1137907609344 in words is "one trillion, one hundred thirty-seven billion, nine hundred seven million, six hundred nine thousand, three hundred forty-four".