45211444560 has 240 divisors, whose sum is σ = 157866770880. Its totient is φ = 11586263040.

The previous prime is 45211444507. The next prime is 45211444573. The reversal of 45211444560 is 6544411254.

45211444560 is a `hidden beast` number, since 4 + 52 + 1 + 1 + 4 + 44 + 560 = 666.

45211444560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1966411 + ... + 1989269.

It is an arithmetic number, because the mean of its divisors is an integer number (657778212).

Almost surely, 2^45211444560 is an apocalyptic number.

45211444560 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 45211444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78933385440).

45211444560 is an abundant number, since it is smaller than the sum of its proper divisors (112655326320).

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

45211444560 is a wasteful number, since it uses less digits than its factorization.

45211444560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22986 (or 22977 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45211444560 in words is "forty-five billion, two hundred eleven million, four hundred forty-four thousand, five hundred sixty".