361311523776 has 280 divisors, whose sum is σ = 1225379332320. Its totient is φ = 103119464448.

The previous prime is 361311523759. The next prime is 361311523777. The reversal of 361311523776 is 677325113163.

361311523776 is a `hidden beast` number, since 3 + 613 + 1 + 1 + 5 + 23 + 7 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361311523777) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36754830 + ... + 36764658.

Almost surely, 2^361311523776 is an apocalyptic number.

361311523776 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 361311523776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612689666160).

361311523776 is an abundant number, since it is smaller than the sum of its proper divisors (864067808544).

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

361311523776 is a wasteful number, since it uses less digits than its factorization.

361311523776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10873 (or 10854 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The spelling of 361311523776 in words is "three hundred sixty-one billion, three hundred eleven million, five hundred twenty-three thousand, seven hundred seventy-six".