45334065636 has 192 divisors, whose sum is σ = 126688665600. Its totient is φ = 13984641792.

The previous prime is 45334065617. The next prime is 45334065649. The reversal of 45334065636 is 63656043354.

45334065636 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 4 + 0 + 6 + 5 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45334065591 and 45334065600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10388391 + ... + 10392753.

It is an arithmetic number, because the mean of its divisors is an integer number (659836800).

Almost surely, 2^45334065636 is an apocalyptic number.

45334065636 is a gapful number since it is divisible by the number (46) 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 45334065636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63344332800).

45334065636 is an abundant number, since it is smaller than the sum of its proper divisors (81354599964).

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

45334065636 is a wasteful number, since it uses less digits than its factorization.

45334065636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 45334065636 in words is "forty-five billion, three hundred thirty-four million, sixty-five thousand, six hundred thirty-six".