472204495294752 has 384 divisors, whose sum is σ = 1425585401856000. Its totient is φ = 135352336020480.

The previous prime is 472204495294739. The next prime is 472204495294793. The reversal of 472204495294752 is 257492594402274.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37658857699 + ... + 37658870237.

It is an arithmetic number, because the mean of its divisors is an integer number (3712461984000).

Almost surely, 2^{472204495294752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472204495294752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712792700928000).

472204495294752 is an abundant number, since it is smaller than the sum of its proper divisors (953380906561248).

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

472204495294752 is a wasteful number, since it uses less digits than its factorization.

472204495294752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15324 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 66.

The spelling of 472204495294752 in words is "four hundred seventy-two trillion, two hundred four billion, four hundred ninety-five million, two hundred ninety-four thousand, seven hundred fifty-two".