368601741312 has 384 divisors, whose sum is σ = 1220412211200. Its totient is φ = 96546816000.

The previous prime is 368601741227. The next prime is 368601741449. The reversal of 368601741312 is 213147106863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25324437 + ... + 25338987.

It is an arithmetic number, because the mean of its divisors is an integer number (3178156800).

Almost surely, 2^368601741312 is an apocalyptic number.

368601741312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368601741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610206105600).

368601741312 is an abundant number, since it is smaller than the sum of its proper divisors (851810469888).

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

368601741312 is a wasteful number, since it uses less digits than its factorization.

368601741312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14633 (or 14613 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 368601741312 in words is "three hundred sixty-eight billion, six hundred one million, seven hundred forty-one thousand, three hundred twelve".