45933870456 has 96 divisors (see below), whose sum is σ = 125902576800. Its totient is φ = 15127157760.

The previous prime is 45933870431. The next prime is 45933870457. The reversal of 45933870456 is 65407833954.

45933870456 is a `hidden beast` number, since 4 + 5 + 93 + 38 + 70 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45933870457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11833636 + ... + 11837516.

It is an arithmetic number, because the mean of its divisors is an integer number (1311485175).

Almost surely, 2^45933870456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45933870456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62951288400).

45933870456 is an abundant number, since it is smaller than the sum of its proper divisors (79968706344).

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

45933870456 is a wasteful number, since it uses less digits than its factorization.

45933870456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 45933870456 in words is "forty-five billion, nine hundred thirty-three million, eight hundred seventy thousand, four hundred fifty-six".