45429870080 has 320 divisors, whose sum is σ = 131011043328. Its totient is φ = 14779514880.

The previous prime is 45429870071. The next prime is 45429870119. The reversal of 45429870080 is 8007892454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29441789 + ... + 29443331.

Almost surely, 2^45429870080 is an apocalyptic number.

45429870080 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 45429870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65505521664).

45429870080 is an abundant number, since it is smaller than the sum of its proper divisors (85581173248).

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

45429870080 is a wasteful number, since it uses less digits than its factorization.

45429870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 45429870080 in words is "forty-five billion, four hundred twenty-nine million, eight hundred seventy thousand, eighty".