361182472992 has 288 divisors, whose sum is σ = 1134834914304. Its totient is φ = 108056678400.

The previous prime is 361182472943. The next prime is 361182473053. The reversal of 361182472992 is 299274281163.

361182472992 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 82 + 472 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82894878 + ... + 82899234.

It is an arithmetic number, because the mean of its divisors is an integer number (3940399008).

Almost surely, 2^361182472992 is an apocalyptic number.

361182472992 is a gapful number since it is divisible by the number (32) 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 361182472992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567417457152).

361182472992 is an abundant number, since it is smaller than the sum of its proper divisors (773652441312).

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

361182472992 is a wasteful number, since it uses less digits than its factorization.

361182472992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4701 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 361182472992 in words is "three hundred sixty-one billion, one hundred eighty-two million, four hundred seventy-two thousand, nine hundred ninety-two".