45408288960 has 560 divisors, whose sum is σ = 167078875392. Its totient is φ = 11699251200.

The previous prime is 45408288869. The next prime is 45408288967. The reversal of 45408288960 is 6988280454.

45408288960 is a `hidden beast` number, since 4 + 540 + 8 + 2 + 8 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45408288897 and 45408288906.

It is not an unprimeable number, because it can be changed into a prime (45408288967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146007205 + ... + 146007515.

Almost surely, 2^45408288960 is an apocalyptic number.

45408288960 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 45408288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83539437696).

45408288960 is an abundant number, since it is smaller than the sum of its proper divisors (121670586432).

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

45408288960 is a wasteful number, since it uses less digits than its factorization.

45408288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 45408288960 in words is "forty-five billion, four hundred eight million, two hundred eighty-eight thousand, nine hundred sixty".