361704630456 has 384 divisors, whose sum is σ = 1182485304000. Its totient is φ = 98777677824.

The previous prime is 361704630403. The next prime is 361704630583. The reversal of 361704630456 is 654036407163.

361704630456 is a `hidden beast` number, since 3 + 6 + 1 + 7 + 0 + 4 + 630 + 4 + 5 + 6 = 666.

It is a congruent number.

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, 19833150 + ... + 19851378.

Almost surely, 2^361704630456 is an apocalyptic number.

361704630456 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 361704630456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591242652000).

361704630456 is an abundant number, since it is smaller than the sum of its proper divisors (820780673544).

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

361704630456 is a wasteful number, since it uses less digits than its factorization.

361704630456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18343 (or 18336 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 361704630456 in words is "three hundred sixty-one billion, seven hundred four million, six hundred thirty thousand, four hundred fifty-six".