472746160836261 has 192 divisors, whose sum is σ = 793745132544000. Its totient is φ = 269405531708544.

The previous prime is 472746160836227. The next prime is 472746160836281. The reversal of 472746160836261 is 162638061647274.

472746160836261 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 4 + 616 + 0 + 8 + 3 + 6 + 2 + 6 + 1 = 666.

It is not a de Polignac number, because 472746160836261 - 2¹⁰ = 472746160835237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472746160836221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31645093330 + ... + 31645108268.

It is an arithmetic number, because the mean of its divisors is an integer number (4134089232000).

Almost surely, 2^{472746160836261} is an apocalyptic number.

It is an amenable number.

472746160836261 is a deficient number, since it is larger than the sum of its proper divisors (320998971707739).

472746160836261 is a wasteful number, since it uses less digits than its factorization.

472746160836261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15901 (or 15860 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 472746160836261 in words is "four hundred seventy-two trillion, seven hundred forty-six billion, one hundred sixty million, eight hundred thirty-six thousand, two hundred sixty-one".