45333556560 has 120 divisors (see below), whose sum is σ = 152342704800. Its totient is φ = 12081206016.

The previous prime is 45333556517. The next prime is 45333556561. The reversal of 45333556560 is 6565533354.

45333556560 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 35 + 56 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45333556561) 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, 1152091 + ... + 1190789.

It is an arithmetic number, because the mean of its divisors is an integer number (1269522540).

Almost surely, 2^45333556560 is an apocalyptic number.

45333556560 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 45333556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76171352400).

45333556560 is an abundant number, since it is smaller than the sum of its proper divisors (107009148240).

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

45333556560 is a wasteful number, since it uses less digits than its factorization.

45333556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40345 (or 40336 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 45.

The spelling of 45333556560 in words is "forty-five billion, three hundred thirty-three million, five hundred fifty-six thousand, five hundred sixty".