45465090048 has 576 divisors, whose sum is σ = 161030338560. Its totient is φ = 12541132800.

The previous prime is 45465090001. The next prime is 45465090061. The reversal of 45465090048 is 84009056454.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 45465089985 and 45465090012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107992878 + ... + 107993298.

It is an arithmetic number, because the mean of its divisors is an integer number (279566560).

Almost surely, 2^45465090048 is an apocalyptic number.

45465090048 is a gapful number since it is divisible by the number (48) 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 45465090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80515169280).

45465090048 is an abundant number, since it is smaller than the sum of its proper divisors (115565248512).

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

45465090048 is an equidigital number, since it uses as much as digits as its factorization.

45465090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 45465090048 in words is "forty-five billion, four hundred sixty-five million, ninety thousand, forty-eight".