361383766838370 has 192 divisors, whose sum is σ = 984324368401920. Its totient is φ = 91893596774400.

The previous prime is 361383766838207. The next prime is 361383766838387. The reversal of 361383766838370 is 73838667383163.

361383766838370 is a `hidden beast` number, since 3 + 6 + 1 + 38 + 376 + 6 + 83 + 83 + 70 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126754930 + ... + 129574610.

It is an arithmetic number, because the mean of its divisors is an integer number (5126689418760).

Almost surely, 2^{361383766838370} is an apocalyptic number.

361383766838370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361383766838370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492162184200960).

361383766838370 is an abundant number, since it is smaller than the sum of its proper divisors (622940601563550).

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

361383766838370 is a wasteful number, since it uses less digits than its factorization.

361383766838370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820521 (or 2820518 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 361383766838370 in words is "three hundred sixty-one trillion, three hundred eighty-three billion, seven hundred sixty-six million, eight hundred thirty-eight thousand, three hundred seventy".