472752426143232 has 400 divisors, whose sum is σ = 1416291991377120. Its totient is φ = 156998484099072.

The previous prime is 472752426143197. The next prime is 472752426143233. The reversal of 472752426143232 is 232341624257274.

472752426143232 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 52 + 4 + 261 + 4 + 323 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472752426143233) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 19692262173 + ... + 19692286179.

Almost surely, 2^{472752426143232} 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 472752426143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708145995688560).

472752426143232 is an abundant number, since it is smaller than the sum of its proper divisors (943539565233888).

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

472752426143232 is a wasteful number, since it uses less digits than its factorization.

472752426143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25783 (or 25758 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 54.

The spelling of 472752426143232 in words is "four hundred seventy-two trillion, seven hundred fifty-two billion, four hundred twenty-six million, one hundred forty-three thousand, two hundred thirty-two".