45748738560 has 640 divisors, whose sum is σ = 174932803584. Its totient is φ = 9979822080.

The previous prime is 45748738537. The next prime is 45748738583. The reversal of 45748738560 is 6583784754.

It is an interprime number because it is at equal distance from previous prime (45748738537) and next prime (45748738583).

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 45748738560.

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, 161656179 + ... + 161656461.

Almost surely, 2^45748738560 is an apocalyptic number.

45748738560 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 45748738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87466401792).

45748738560 is an abundant number, since it is smaller than the sum of its proper divisors (129184065024).

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

45748738560 is a wasteful number, since it uses less digits than its factorization.

45748738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 45748738560 in words is "forty-five billion, seven hundred forty-eight million, seven hundred thirty-eight thousand, five hundred sixty".