45213706368 has 192 divisors, whose sum is σ = 134090026200. Its totient is φ = 14612742144.

The previous prime is 45213706319. The next prime is 45213706381. The reversal of 45213706368 is 86360731254.

45213706368 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 3 + 7 + 0 + 636 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43227399744 + 1986306624 = 207912^2 + 44568^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13339618 + ... + 13343006.

Almost surely, 2^45213706368 is an apocalyptic number.

45213706368 is a gapful number since it is divisible by the number (48) 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 45213706368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67045013100).

45213706368 is an abundant number, since it is smaller than the sum of its proper divisors (88876319832).

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

45213706368 is a wasteful number, since it uses less digits than its factorization.

45213706368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 45213706368 in words is "forty-five billion, two hundred thirteen million, seven hundred six thousand, three hundred sixty-eight".