36353643552 has 72 divisors (see below), whose sum is σ = 103507267500. Its totient is φ = 12103042560.

The previous prime is 36353643517. The next prime is 36353643583. The reversal of 36353643552 is 25534635363.

It is a happy number.

36353643552 is a `hidden beast` number, since 3 + 6 + 3 + 53 + 6 + 43 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34448844816 + 1904798736 = 185604^2 + 43644^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×36353643552³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36353643498 and 36353643507.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159574 + ... + 313322.

Almost surely, 2^36353643552 is an apocalyptic number.

36353643552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36353643552 is an abundant number, since it is smaller than the sum of its proper divisors (67153623948).

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

36353643552 is a wasteful number, since it uses less digits than its factorization.

36353643552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154586 (or 154575 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 45.

The spelling of 36353643552 in words is "thirty-six billion, three hundred fifty-three million, six hundred forty-three thousand, five hundred fifty-two".