331653754061604 has 576 divisors, whose sum is σ = 952804302428160. Its totient is φ = 100260898606080.

The previous prime is 331653754061599. The next prime is 331653754061627. The reversal of 331653754061604 is 406160457356133.

331653754061604 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 5 + 3 + 75 + 406 + 160 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185592474799 + ... + 185592476585.

It is an arithmetic number, because the mean of its divisors is an integer number (1654174136160).

Almost surely, 2^{331653754061604} 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 331653754061604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476402151214080).

331653754061604 is an abundant number, since it is smaller than the sum of its proper divisors (621150548366556).

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

331653754061604 is a wasteful number, since it uses less digits than its factorization.

331653754061604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 331653754061604 in words is "three hundred thirty-one trillion, six hundred fifty-three billion, seven hundred fifty-four million, sixty-one thousand, six hundred four".