1137908625984 has 315 divisors, whose sum is σ = 3546886973903. Its totient is φ = 348794454528.

The previous prime is 1137908625899. The next prime is 1137908626037. The reversal of 1137908625984 is 4895268097311.

The square root of 1137908625984 is 1066728.

It is a perfect power (a square), and thus also a powerful number.

1137908625984 is a `hidden beast` number, since 1 + 1 + 37 + 9 + 0 + 8 + 6 + 2 + 598 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 564193272384 + 573715353600 = 751128^2 + 757440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4326648637 + ... + 4326648899.

It is a 1-persistent number, because it is pandigital, but 2⋅1137908625984 = 2275817251968 is not.

Almost surely, 2^{1137908625984} is an apocalyptic number.

1137908625984 is the 1066728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137908625984

1137908625984 is an abundant number, since it is smaller than the sum of its proper divisors (2408978347919).

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

1137908625984 is an frugal number, since it uses more digits than its factorization.

1137908625984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1137908625984 in words is "one trillion, one hundred thirty-seven billion, nine hundred eight million, six hundred twenty-five thousand, nine hundred eighty-four".