368534945085696 has 729 divisors, whose sum is σ = 1111887891077691. Its totient is φ = 117395108812800.

The previous prime is 368534945085683. The next prime is 368534945085751. The reversal of 368534945085696 is 696580549435863.

The square root of 368534945085696 is 19197264.

It is a perfect power (a square), and thus also a powerful number.

368534945085696 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 3 + 4 + 9 + 45 + 0 + 8 + 569 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2813243855551 + ... + 2813243855681.

Almost surely, 2^{368534945085696} is an apocalyptic number.

368534945085696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

368534945085696 is the 19197264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368534945085696

368534945085696 is an abundant number, since it is smaller than the sum of its proper divisors (743352945991995).

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

368534945085696 is an frugal number, since it uses more digits than its factorization.

368534945085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 20155392000, while the sum is 81.

The spelling of 368534945085696 in words is "three hundred sixty-eight trillion, five hundred thirty-four billion, nine hundred forty-five million, eighty-five thousand, six hundred ninety-six".