457645047040512 has 240 divisors, whose sum is σ = 1450284264741312. Its totient is φ = 143574916055040.

The previous prime is 457645047040481. The next prime is 457645047040663. The reversal of 457645047040512 is 215040740546754.

457645047040512 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 4 + 50 + 4 + 70 + 4 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106071564 + ... + 110301707.

Almost surely, 2^{457645047040512} is an apocalyptic number.

It is an amenable number.

457645047040512 is an abundant number, since it is smaller than the sum of its proper divisors (992639217700800).

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

457645047040512 is an equidigital number, since it uses as much as digits as its factorization.

457645047040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216373321 (or 216373293 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 457645047040512 in words is "four hundred fifty-seven trillion, six hundred forty-five billion, forty-seven million, forty thousand, five hundred twelve".