45584648760 has 512 divisors, whose sum is σ = 171590400000. Its totient is φ = 9452298240.

The previous prime is 45584648737. The next prime is 45584648761. The reversal of 45584648760 is 6784648554.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 45584648760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45584648761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68962830 + ... + 68963490.

It is an arithmetic number, because the mean of its divisors is an integer number (335137500).

Almost surely, 2^45584648760 is an apocalyptic number.

45584648760 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 45584648760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85795200000).

45584648760 is an abundant number, since it is smaller than the sum of its proper divisors (126005751240).

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

45584648760 is a wasteful number, since it uses less digits than its factorization.

45584648760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 45584648760 in words is "forty-five billion, five hundred eighty-four million, six hundred forty-eight thousand, seven hundred sixty".