45705288960 has 576 divisors, whose sum is σ = 172096296960. Its totient is φ = 11466178560.

The previous prime is 45705288947. The next prime is 45705288961. The reversal of 45705288960 is 6988250754.

45705288960 is a `hidden beast` number, since 4 + 57 + 0 + 528 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 45705288897 and 45705288906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45705288961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39639744 + ... + 39640896.

Almost surely, 2^45705288960 is an apocalyptic number.

45705288960 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 45705288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86048148480).

45705288960 is an abundant number, since it is smaller than the sum of its proper divisors (126391008000).

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

45705288960 is a wasteful number, since it uses less digits than its factorization.

45705288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 45705288960 in words is "forty-five billion, seven hundred five million, two hundred eighty-eight thousand, nine hundred sixty".