46070610120 has 192 divisors, whose sum is σ = 151927776000. Its totient is φ = 12105759744.

The previous prime is 46070610119. The next prime is 46070610133. The reversal of 46070610120 is 2101607064.

46070610120 is a `hidden beast` number, since 46 + 0 + 7 + 0 + 610 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×46070610120² (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 47 ways as a sum of consecutive naturals, for example, 17603052 + ... + 17605668.

It is an arithmetic number, because the mean of its divisors is an integer number (791290500).

Almost surely, 2^46070610120 is an apocalyptic number.

46070610120 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 46070610120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75963888000).

46070610120 is an abundant number, since it is smaller than the sum of its proper divisors (105857165880).

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

46070610120 is a wasteful number, since it uses less digits than its factorization.

46070610120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 46070610120 in words is "forty-six billion, seventy million, six hundred ten thousand, one hundred twenty".