472772136124716 has 192 divisors, whose sum is σ = 1244800256179200. Its totient is φ = 138904324568064.

The previous prime is 472772136124667. The next prime is 472772136124721. The reversal of 472772136124716 is 617421631277274.

It is a self number, because there is not a number n which added to its sum of digits gives 472772136124716.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654095250 + ... + 654817638.

It is an arithmetic number, because the mean of its divisors is an integer number (6483334667600).

Almost surely, 2^{472772136124716} is an apocalyptic number.

472772136124716 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472772136124716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622400128089600).

472772136124716 is an abundant number, since it is smaller than the sum of its proper divisors (772028120054484).

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

472772136124716 is a wasteful number, since it uses less digits than its factorization.

472772136124716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725848 (or 725846 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 60.

The spelling of 472772136124716 in words is "four hundred seventy-two trillion, seven hundred seventy-two billion, one hundred thirty-six million, one hundred twenty-four thousand, seven hundred sixteen".