11338457625 has 64 divisors (see below), whose sum is σ = 22869400320. Its totient is φ = 5497416000.

The previous prime is 11338457597. The next prime is 11338457633. The reversal of 11338457625 is 52675483311.

It is a happy number.

11338457625 is a `hidden beast` number, since 1 + 13 + 3 + 8 + 4 + 5 + 7 + 625 = 666.

It is not a de Polignac number, because 11338457625 - 2¹⁸ = 11338195481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115582 + ... + 189831.

It is an arithmetic number, because the mean of its divisors is an integer number (357334380).

Almost surely, 2^11338457625 is an apocalyptic number.

11338457625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11338457625 is an abundant number, since it is smaller than the sum of its proper divisors (11530942695).

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

11338457625 is a wasteful number, since it uses less digits than its factorization.

11338457625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305448 (or 305432 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 11338457625 in words is "eleven billion, three hundred thirty-eight million, four hundred fifty-seven thousand, six hundred twenty-five".