91934402402304 has 3072 divisors, whose sum is σ = 373621248000000. Its totient is φ = 21613109575680.

The previous prime is 91934402402251. The next prime is 91934402402327. The reversal of 91934402402304 is 40320420443919.

91934402402304 is a `hidden beast` number, since 9 + 1 + 9 + 3 + 4 + 402 + 4 + 0 + 230 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a self number, because there is not a number n which added to its sum of digits gives 91934402402304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 349560465277 + ... + 349560465539.

It is an arithmetic number, because the mean of its divisors is an integer number (121621500000).

Almost surely, 2^{91934402402304} 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 91934402402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624000000).

91934402402304 is an abundant number, since it is smaller than the sum of its proper divisors (281686845597696).

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

91934402402304 is a wasteful number, since it uses less digits than its factorization.

91934402402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 91934402402304 in words is "ninety-one trillion, nine hundred thirty-four billion, four hundred two million, four hundred two thousand, three hundred four".