331513780416 has 224 divisors, whose sum is σ = 1080157360128. Its totient is φ = 87382609920.

The previous prime is 331513780369. The next prime is 331513780487. The reversal of 331513780416 is 614087315133.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38801041 + ... + 38809583.

It is an arithmetic number, because the mean of its divisors is an integer number (4822131072).

Almost surely, 2^331513780416 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 331513780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540078680064).

331513780416 is an abundant number, since it is smaller than the sum of its proper divisors (748643579712).

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

331513780416 is a wasteful number, since it uses less digits than its factorization.

331513780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10799 (or 10789 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 331513780416 in words is "three hundred thirty-one billion, five hundred thirteen million, seven hundred eighty thousand, four hundred sixteen".