361791182016 has 224 divisors, whose sum is σ = 1210738752000. Its totient is φ = 104866882560.

The previous prime is 361791181967. The next prime is 361791182033. The reversal of 361791182016 is 610281197163.

361791182016 is a `hidden beast` number, since 3 + 617 + 9 + 1 + 1 + 8 + 20 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23410 + ... + 850958.

Almost surely, 2^361791182016 is an apocalyptic number.

361791182016 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 361791182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605369376000).

361791182016 is an abundant number, since it is smaller than the sum of its proper divisors (848947569984).

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

361791182016 is a wasteful number, since it uses less digits than its factorization.

361791182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827604 (or 827588 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 361791182016 in words is "three hundred sixty-one billion, seven hundred ninety-one million, one hundred eighty-two thousand, sixteen".