331604078352 has 320 divisors, whose sum is σ = 971336116224. Its totient is φ = 96927621120.

The previous prime is 331604078321. The next prime is 331604078411. The reversal of 331604078352 is 253870406133.

It is a super-2 number, since 2×331604078352² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122497383 + ... + 122500089.

Almost surely, 2^331604078352 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 331604078352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485668058112).

331604078352 is an abundant number, since it is smaller than the sum of its proper divisors (639732037872).

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

331604078352 is a wasteful number, since it uses less digits than its factorization.

331604078352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 331604078352 in words is "three hundred thirty-one billion, six hundred four million, seventy-eight thousand, three hundred fifty-two".