45360709632 has 576 divisors, whose sum is σ = 158116032360. Its totient is φ = 12485394432.

The previous prime is 45360709613. The next prime is 45360709643. The reversal of 45360709632 is 23690706354.

45360709632 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 0 + 7 + 0 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 35 ways as a sum of consecutive naturals, for example, 621379548 + ... + 621379620.

Almost surely, 2^45360709632 is an apocalyptic number.

45360709632 is a gapful number since it is divisible by the number (42) 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 45360709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79058016180).

45360709632 is an abundant number, since it is smaller than the sum of its proper divisors (112755322728).

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

45360709632 is an equidigital number, since it uses as much as digits as its factorization.

45360709632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 45360709632 in words is "forty-five billion, three hundred sixty million, seven hundred nine thousand, six hundred thirty-two".