368785373113872 has 1920 divisors, whose sum is σ = 1337420616744960. Its totient is φ = 97484576716800.

The previous prime is 368785373113769. The next prime is 368785373113909. The reversal of 368785373113872 is 278311373587863.

368785373113872 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 8 + 537 + 3 + 1 + 1 + 3 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 368785373113872.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 86711818498 + ... + 86711822750.

It is an arithmetic number, because the mean of its divisors is an integer number (696573237888).

Almost surely, 2^{368785373113872} 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 368785373113872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668710308372480).

368785373113872 is an abundant number, since it is smaller than the sum of its proper divisors (968635243631088).

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

368785373113872 is a wasteful number, since it uses less digits than its factorization.

368785373113872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4356 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 368785373113872 in words is "three hundred sixty-eight trillion, seven hundred eighty-five billion, three hundred seventy-three million, one hundred thirteen thousand, eight hundred seventy-two".