45670964480 has 72 divisors (see below), whose sum is σ = 109560848712. Its totient is φ = 18240897024.

The previous prime is 45670964477. The next prime is 45670964501. The reversal of 45670964480 is 8446907654.

It can be written as a sum of positive squares in 4 ways, for example, as 11348214784 + 34322749696 = 106528^2 + 185264^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834932 + ... + 887948.

Almost surely, 2^45670964480 is an apocalyptic number.

45670964480 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 45670964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54780424356).

45670964480 is an abundant number, since it is smaller than the sum of its proper divisors (63889884232).

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

45670964480 is an equidigital number, since it uses as much as digits as its factorization.

45670964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53711 (or 53697 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 45670964480 in words is "forty-five billion, six hundred seventy million, nine hundred sixty-four thousand, four hundred eighty".