361831122576 has 1125 divisors, whose sum is σ = 1387589684019. Its totient is φ = 90950428800.

The previous prime is 361831122563. The next prime is 361831122637. The reversal of 361831122576 is 675221138163.

It is a happy number.

The square root of 361831122576 is 601524.

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

361831122576 is a `hidden beast` number, since 3 + 61 + 8 + 3 + 1 + 12 + 2 + 576 = 666.

It is a super-2 number, since 2×361831122576² (a number of 24 digits) contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 11671971681 + ... + 11671971711.

Almost surely, 2^361831122576 is an apocalyptic number.

361831122576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

361831122576 is the 601524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361831122576

361831122576 is an abundant number, since it is smaller than the sum of its proper divisors (1025758561443).

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

361831122576 is an equidigital number, since it uses as much as digits as its factorization.

361831122576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 54 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 361831122576 in words is "three hundred sixty-one billion, eight hundred thirty-one million, one hundred twenty-two thousand, five hundred seventy-six".