45756357240 has 256 divisors, whose sum is σ = 151763466240. Its totient is φ = 10944000000.

The previous prime is 45756357217. The next prime is 45756357253. The reversal of 45756357240 is 4275365754.

45756357240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45756357240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60926865 + ... + 60927615.

It is an arithmetic number, because the mean of its divisors is an integer number (592826040).

Almost surely, 2^45756357240 is an apocalyptic number.

45756357240 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 45756357240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75881733120).

45756357240 is an abundant number, since it is smaller than the sum of its proper divisors (106007109000).

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

45756357240 is a wasteful number, since it uses less digits than its factorization.

45756357240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 48.

The spelling of 45756357240 in words is "forty-five billion, seven hundred fifty-six million, three hundred fifty-seven thousand, two hundred forty".