45826638480 has 420 divisors, whose sum is σ = 179882984892. Its totient is φ = 10455298560.

The previous prime is 45826638463. The next prime is 45826638541. The reversal of 45826638480 is 8483662854.

It can be written as a sum of positive squares in 2 ways, for example, as 17348050944 + 28478587536 = 131712^2 + 168756^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 84707010 + ... + 84707550.

Almost surely, 2^45826638480 is an apocalyptic number.

45826638480 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 45826638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89941492446).

45826638480 is an abundant number, since it is smaller than the sum of its proper divisors (134056346412).

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

45826638480 is an frugal number, since it uses more digits than its factorization.

45826638480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 45826638480 in words is "forty-five billion, eight hundred twenty-six million, six hundred thirty-eight thousand, four hundred eighty".