45306450000 has 720 divisors, whose sum is σ = 190909031040. Its totient is φ = 9797760000.

The previous prime is 45306449983. The next prime is 45306450031. The reversal of 45306450000 is 5460354.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59849622 + ... + 59850378.

It is an arithmetic number, because the mean of its divisors is an integer number (265151432).

Almost surely, 2^45306450000 is an apocalyptic number.

45306450000 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 45306450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95454515520).

45306450000 is an abundant number, since it is smaller than the sum of its proper divisors (145602581040).

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

45306450000 is a wasteful number, since it uses less digits than its factorization.

45306450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 45306450000 in words is "forty-five billion, three hundred six million, four hundred fifty thousand".