364096351371312 has 960 divisors, whose sum is σ = 1280942657280000. Its totient is φ = 96199500773376.

The previous prime is 364096351371301. The next prime is 364096351371349. The reversal of 364096351371312 is 213173153690463.

364096351371312 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 96 + 3 + 513 + 7 + 1 + 31 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9798316989 + ... + 9798354147.

It is an arithmetic number, because the mean of its divisors is an integer number (1334315268000).

Almost surely, 2^{364096351371312} 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 364096351371312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640471328640000).

364096351371312 is an abundant number, since it is smaller than the sum of its proper divisors (916846305908688).

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

364096351371312 is a wasteful number, since it uses less digits than its factorization.

364096351371312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37463 (or 37440 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 364096351371312 in words is "three hundred sixty-four trillion, ninety-six billion, three hundred fifty-one million, three hundred seventy-one thousand, three hundred twelve".