45010514000 has 80 divisors (see below), whose sum is σ = 108911149776. Its totient is φ = 17991680000.

The previous prime is 45010513997. The next prime is 45010514047. The reversal of 45010514000 is 41501054.

45010514000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11935999504 + 33074514496 = 109252^2 + 181864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194972 + ... + 3209028.

Almost surely, 2^45010514000 is an apocalyptic number.

45010514000 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 45010514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54455574888).

45010514000 is an abundant number, since it is smaller than the sum of its proper divisors (63900635776).

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

45010514000 is a wasteful number, since it uses less digits than its factorization.

45010514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15681 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 45010514000 in words is "forty-five billion, ten million, five hundred fourteen thousand".