322130034274752 has 280 divisors, whose sum is σ = 1044177343291632. Its totient is φ = 97383289651200.

The previous prime is 322130034274747. The next prime is 322130034274771. The reversal of 322130034274752 is 257472430031223.

322130034274752 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 300 + 3 + 4 + 274 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 322130034274698 and 322130034274707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17298048 + ... + 30716160.

Almost surely, 2^{322130034274752} is an apocalyptic number.

322130034274752 is a gapful number since it is divisible by the number (32) 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 322130034274752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522088671645816).

322130034274752 is an abundant number, since it is smaller than the sum of its proper divisors (722047309016880).

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

322130034274752 is a wasteful number, since it uses less digits than its factorization.

322130034274752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13418569 (or 13418550 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 322130034274752 in words is "three hundred twenty-two trillion, one hundred thirty billion, thirty-four million, two hundred seventy-four thousand, seven hundred fifty-two".