45706461120 has 672 divisors, whose sum is σ = 178553351808. Its totient is φ = 10666377216.

The previous prime is 45706461071. The next prime is 45706461133. The reversal of 45706461120 is 2116460754.

45706461120 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 646 + 1 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×45706461120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41664412 + ... + 41665508.

Almost surely, 2^45706461120 is an apocalyptic number.

45706461120 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 45706461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89276675904).

45706461120 is an abundant number, since it is smaller than the sum of its proper divisors (132846890688).

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

45706461120 is a wasteful number, since it uses less digits than its factorization.

45706461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 45706461120 in words is "forty-five billion, seven hundred six million, four hundred sixty-one thousand, one hundred twenty".