45634723840 has 112 divisors (see below), whose sum is σ = 115960577832. Its totient is φ = 17179869184.

The previous prime is 45634723831. The next prime is 45634723859. The reversal of 45634723840 is 4832743654.

It can be written as a sum of positive squares in 4 ways, for example, as 45392859136 + 241864704 = 213056^2 + 15552^2 .

It is a zygodrome in base 4 and base 16.

It is an unprimeable number.

In principle, a polygon with 45634723840 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663552 + ... + 729088.

Almost surely, 2^45634723840 is an apocalyptic number.

45634723840 is a gapful number since it is divisible by the number (40) 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 45634723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57980288916).

45634723840 is an abundant number, since it is smaller than the sum of its proper divisors (70325853992).

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

45634723840 is an equidigital number, since it uses as much as digits as its factorization.

45634723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65585 (or 65561 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 45634723840 in words is "forty-five billion, six hundred thirty-four million, seven hundred twenty-three thousand, eight hundred forty".