45450840960 has 1536 divisors, whose sum is σ = 210026649600. Its totient is φ = 9050849280.

The previous prime is 45450840923. The next prime is 45450840973. The reversal of 45450840960 is 6904805454.

45450840960 is a `hidden beast` number, since 4 + 54 + 508 + 4 + 0 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1466156145 + ... + 1466156175.

It is an arithmetic number, because the mean of its divisors is an integer number (136736100).

Almost surely, 2^45450840960 is an apocalyptic number.

45450840960 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 45450840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105013324800).

45450840960 is an abundant number, since it is smaller than the sum of its proper divisors (164575808640).

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

45450840960 is a wasteful number, since it uses less digits than its factorization.

45450840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 45450840960 in words is "forty-five billion, four hundred fifty million, eight hundred forty thousand, nine hundred sixty".