91984133964000 has 96 divisors (see below), whose sum is σ = 301340022905376. Its totient is φ = 24529102387200.

The previous prime is 91984133963987. The next prime is 91984133964013. The reversal of 91984133964000 is 46933148919.

It is an interprime number because it is at equal distance from previous prime (91984133963987) and next prime (91984133964013).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×91984133964000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3832660249 + ... + 3832684248.

It is an arithmetic number, because the mean of its divisors is an integer number (3138958571931).

Almost surely, 2^{91984133964000} is an apocalyptic number.

It is an amenable number.

91984133964000 is an abundant number, since it is smaller than the sum of its proper divisors (209355888941376).

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

91984133964000 is a wasteful number, since it uses less digits than its factorization.

91984133964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665344525 (or 7665344507 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 91984133964000 in words is "ninety-one trillion, nine hundred eighty-four billion, one hundred thirty-three million, nine hundred sixty-four thousand".