45205703460 has 72 divisors (see below), whose sum is σ = 138537669816. Its totient is φ = 11930572800.

The previous prime is 45205703401. The next prime is 45205703489. The reversal of 45205703460 is 6430750254.

45205703460 is a `hidden beast` number, since 4 + 5 + 20 + 570 + 3 + 4 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8707129344 + 36498574116 = 93312^2 + 191046^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277091 + ... + 1312010.

It is an arithmetic number, because the mean of its divisors is an integer number (1924134303).

Almost surely, 2^45205703460 is an apocalyptic number.

It is an amenable number.

45205703460 is an abundant number, since it is smaller than the sum of its proper divisors (93331966356).

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

45205703460 is a wasteful number, since it uses less digits than its factorization.

45205703460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589213 (or 2589208 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 45205703460 in words is "forty-five billion, two hundred five million, seven hundred three thousand, four hundred sixty".