472525728676641 has 48 divisors (see below), whose sum is σ = 708105660837120. Its totient is φ = 303413157216000.

The previous prime is 472525728676531. The next prime is 472525728676643. The reversal of 472525728676641 is 146676827525274.

472525728676641 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 2 + 572 + 8 + 6 + 7 + 6 + 6 + 41 = 666.

It is not a de Polignac number, because 472525728676641 - 2¹⁸ = 472525728414497 is a prime.

It is a super-2 number, since 2×472525728676641² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 472525728676641.

It is not an unprimeable number, because it can be changed into a prime (472525728676643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292482646 + ... + 294093776.

It is an arithmetic number, because the mean of its divisors is an integer number (14752201267440).

Almost surely, 2^{472525728676641} is an apocalyptic number.

472525728676641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

472525728676641 is a deficient number, since it is larger than the sum of its proper divisors (235579932160479).

472525728676641 is a wasteful number, since it uses less digits than its factorization.

472525728676641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621318 (or 1621315 counting only the distinct ones).

The product of its digits is 1896652800, while the sum is 72.

The spelling of 472525728676641 in words is "four hundred seventy-two trillion, five hundred twenty-five billion, seven hundred twenty-eight million, six hundred seventy-six thousand, six hundred forty-one".