45126070080 has 896 divisors, whose sum is σ = 191826001920. Its totient is φ = 8719073280.

The previous prime is 45126070057. The next prime is 45126070091. The reversal of 45126070080 is 8007062154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51454602 + ... + 51455478.

It is an arithmetic number, because the mean of its divisors is an integer number (214091520).

Almost surely, 2^45126070080 is an apocalyptic number.

45126070080 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 45126070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95913000960).

45126070080 is an abundant number, since it is smaller than the sum of its proper divisors (146699931840).

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

45126070080 is a wasteful number, since it uses less digits than its factorization.

45126070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 45126070080 in words is "forty-five billion, one hundred twenty-six million, seventy thousand, eighty".