472457781307656 has 128 divisors (see below), whose sum is σ = 1395703217520000. Its totient is φ = 147569088208896.

The previous prime is 472457781307607. The next prime is 472457781307657. The reversal of 472457781307656 is 656703187754274.

472457781307656 is a `hidden beast` number, since 4 + 7 + 2 + 457 + 7 + 81 + 30 + 7 + 65 + 6 = 666.

It is a super-3 number, since 3×472457781307656³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (472457781307657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282569481 + ... + 284236568.

It is an arithmetic number, because the mean of its divisors is an integer number (10903931386875).

Almost surely, 2^{472457781307656} is an apocalyptic number.

It is an amenable number.

472457781307656 is an abundant number, since it is smaller than the sum of its proper divisors (923245436212344).

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

472457781307656 is a wasteful number, since it uses less digits than its factorization.

472457781307656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566806308 (or 566806298 counting only the distinct ones).

The product of its (nonzero) digits is 1659571200, while the sum is 72.

The spelling of 472457781307656 in words is "four hundred seventy-two trillion, four hundred fifty-seven billion, seven hundred eighty-one million, three hundred seven thousand, six hundred fifty-six".