45460053576 has 128 divisors (see below), whose sum is σ = 144880416000. Its totient is φ = 12937936896.

The previous prime is 45460053563. The next prime is 45460053637. The reversal of 45460053576 is 67535006454.

45460053576 is a `hidden beast` number, since 4 + 5 + 4 + 600 + 5 + 35 + 7 + 6 = 666.

It is a super-2 number, since 2×45460053576² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330090 + ... + 447078.

It is an arithmetic number, because the mean of its divisors is an integer number (1131878250).

Almost surely, 2^45460053576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45460053576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72440208000).

45460053576 is an abundant number, since it is smaller than the sum of its proper divisors (99420362424).

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

45460053576 is a wasteful number, since it uses less digits than its factorization.

45460053576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117268 (or 117258 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 45460053576 in words is "forty-five billion, four hundred sixty million, fifty-three thousand, five hundred seventy-six".