331512910842672 has 480 divisors, whose sum is σ = 1090916967678720. Its totient is φ = 96614569221120.

The previous prime is 331512910842671. The next prime is 331512910842703. The reversal of 331512910842672 is 276248019215133.

331512910842672 is a `hidden beast` number, since 3 + 3 + 1 + 512 + 9 + 10 + 8 + 42 + 6 + 72 = 666.

It is a super-2 number, since 2×331512910842672² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (331512910842671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4789161022 + ... + 4789230242.

It is an arithmetic number, because the mean of its divisors is an integer number (2272743682664).

It is a 1-persistent number, because it is pandigital, but 2⋅331512910842672 = 663025821685344 is not.

Almost surely, 2^{331512910842672} 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 331512910842672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545458483839360).

331512910842672 is an abundant number, since it is smaller than the sum of its proper divisors (759404056836048).

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

331512910842672 is a wasteful number, since it uses less digits than its factorization.

331512910842672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74263 (or 74245 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 331512910842672 in words is "three hundred thirty-one trillion, five hundred twelve billion, nine hundred ten million, eight hundred forty-two thousand, six hundred seventy-two".