1137030856704 has 432 divisors, whose sum is σ = 3526725121920. Its totient is φ = 365643694080.

The previous prime is 1137030856691. The next prime is 1137030856721. The reversal of 1137030856704 is 4076580307311.

1137030856704 is a `hidden beast` number, since 1 + 13 + 70 + 3 + 0 + 8 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 1137030856704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923663769 + ... + 923664999.

It is an arithmetic number, because the mean of its divisors is an integer number (8163715560).

Almost surely, 2^{1137030856704} 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 1137030856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763362560960).

1137030856704 is an abundant number, since it is smaller than the sum of its proper divisors (2389694265216).

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

1137030856704 is an frugal number, since it uses more digits than its factorization.

1137030856704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1137030856704 in words is "one trillion, one hundred thirty-seven billion, thirty million, eight hundred fifty-six thousand, seven hundred four".