361889348976 has 120 divisors (see below), whose sum is σ = 1019353725936. Its totient is φ = 119850255360.

The previous prime is 361889348969. The next prime is 361889349011. The reversal of 361889348976 is 679843988163.

361889348976 is a `hidden beast` number, since 3 + 61 + 8 + 89 + 3 + 489 + 7 + 6 = 666.

It is a super-2 number, since 2×361889348976² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13952596 + ... + 13978508.

Almost surely, 2^361889348976 is an apocalyptic number.

361889348976 is a gapful number since it is divisible by the number (36) 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 361889348976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509676862968).

361889348976 is an abundant number, since it is smaller than the sum of its proper divisors (657464376960).

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

361889348976 is a wasteful number, since it uses less digits than its factorization.

361889348976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26551 (or 26542 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 361889348976 in words is "three hundred sixty-one billion, eight hundred eighty-nine million, three hundred forty-eight thousand, nine hundred seventy-six".