45852708096 has 648 divisors, whose sum is σ = 155149656480. Its totient is φ = 13421998080.

The previous prime is 45852708067. The next prime is 45852708101. The reversal of 45852708096 is 69080725854.

45852708096 is a `hidden beast` number, since 458 + 5 + 27 + 0 + 80 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 777164515 + ... + 777164573.

Almost surely, 2^45852708096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45852708096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77574828240).

45852708096 is an abundant number, since it is smaller than the sum of its proper divisors (109296948384).

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

45852708096 is an equidigital number, since it uses as much as digits as its factorization.

45852708096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 45852708096 in words is "forty-five billion, eight hundred fifty-two million, seven hundred eight thousand, ninety-six".