45833454720 has 448 divisors, whose sum is σ = 165456372600. Its totient is φ = 12135038976.

The previous prime is 45833454679. The next prime is 45833454721. The reversal of 45833454720 is 2745433854.

45833454720 is a `hidden beast` number, since 4 + 5 + 83 + 3 + 4 + 547 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37875387456 + 7958067264 = 194616^2 + 89208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45833454721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 90045826 + ... + 90046334.

Almost surely, 2^45833454720 is an apocalyptic number.

45833454720 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 45833454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82728186300).

45833454720 is an abundant number, since it is smaller than the sum of its proper divisors (119622917880).

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

45833454720 is an equidigital number, since it uses as much as digits as its factorization.

45833454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 45833454720 in words is "forty-five billion, eight hundred thirty-three million, four hundred fifty-four thousand, seven hundred twenty".