457901125632 has 156 divisors (see below), whose sum is σ = 1323806026504. Its totient is φ = 152501944320.

The previous prime is 457901125631. The next prime is 457901125651. The reversal of 457901125632 is 236521109754.

457901125632 is a `hidden beast` number, since 4 + 5 + 7 + 9 + 0 + 1 + 1 + 2 + 5 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (457901125631) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 48692643 + ... + 48702045.

Almost surely, 2^457901125632 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 457901125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661903013252).

457901125632 is an abundant number, since it is smaller than the sum of its proper divisors (865904900872).

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

457901125632 is a wasteful number, since it uses less digits than its factorization.

457901125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 457901125632 in words is "four hundred fifty-seven billion, nine hundred one million, one hundred twenty-five thousand, six hundred thirty-two".