368191676944 has 135 divisors (see below), whose sum is σ = 899123692077. Its totient is φ = 145570868352.

The previous prime is 368191676927. The next prime is 368191676971. The reversal of 368191676944 is 449676191863.

The square root of 368191676944 is 606788.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54466224400 + 313725452544 = 233380^2 + 560112^2 .

It is a super-2 number, since 2×368191676944² (a number of 24 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 220869999 + ... + 220871665.

Almost surely, 2^368191676944 is an apocalyptic number.

368191676944 is the 606788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368191676944

368191676944 is an abundant number, since it is smaller than the sum of its proper divisors (530932015133).

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

368191676944 is an equidigital number, since it uses as much as digits as its factorization.

368191676944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 1689 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 64.

Multiplying 368191676944 by its sum of digits (64), we get a square (23564267324416 = 4854304²).

It can be divided in two parts, 3681 and 91676944, that added together give a square (91680625 = 9575²).

The spelling of 368191676944 in words is "three hundred sixty-eight billion, one hundred ninety-one million, six hundred seventy-six thousand, nine hundred forty-four".