36559146445056 has 405 divisors, whose sum is σ = 110085033581523. Its totient is φ = 12067678909440.

The previous prime is 36559146445037. The next prime is 36559146445069. The reversal of 36559146445056 is 65054464195563.

The square root of 36559146445056 is 6046416.

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

36559146445056 is a `hidden beast` number, since 3 + 6 + 5 + 5 + 91 + 46 + 4 + 450 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36559146444984 and 36559146445002.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 173266096791 + ... + 173266097001.

Almost surely, 2^{36559146445056} is an apocalyptic number.

36559146445056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36559146445056 is the 6046416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36559146445056

36559146445056 is an abundant number, since it is smaller than the sum of its proper divisors (73525887136467).

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

36559146445056 is an frugal number, since it uses more digits than its factorization.

36559146445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 63.

The spelling of 36559146445056 in words is "thirty-six trillion, five hundred fifty-nine billion, one hundred forty-six million, four hundred forty-five thousand, fifty-six".