36506163456 has 1080 divisors, whose sum is σ = 139846882560. Its totient is φ = 9405849600.

The previous prime is 36506163451. The next prime is 36506163457. The reversal of 36506163456 is 65436160563.

36506163456 is a `hidden beast` number, since 3 + 6 + 5 + 0 + 6 + 1 + 634 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (36506163451) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 598461666 + ... + 598461726.

Almost surely, 2^36506163456 is an apocalyptic number.

36506163456 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 36506163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69923441280).

36506163456 is an abundant number, since it is smaller than the sum of its proper divisors (103340719104).

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

36506163456 is a wasteful number, since it uses less digits than its factorization.

36506163456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 36506163456 in words is "thirty-six billion, five hundred six million, one hundred sixty-three thousand, four hundred fifty-six".