368228946129408 has 1600 divisors, whose sum is σ = 1376769267793920. Its totient is φ = 95402403790848.

The previous prime is 368228946129403. The next prime is 368228946129437. The reversal of 368228946129408 is 804921649822863.

368228946129408 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 2 + 8 + 94 + 6 + 129 + 408 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (368228946129403) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49367062383 + ... + 49367069841.

Almost surely, 2^{368228946129408} 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 368228946129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688384633896960).

368228946129408 is an abundant number, since it is smaller than the sum of its proper divisors (1008540321664512).

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

368228946129408 is a wasteful number, since it uses less digits than its factorization.

368228946129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 368228946129408 in words is "three hundred sixty-eight trillion, two hundred twenty-eight billion, nine hundred forty-six million, one hundred twenty-nine thousand, four hundred eight".