46167045120 has 1408 divisors, whose sum is σ = 206258995200. Its totient is φ = 9674588160.

The previous prime is 46167045079. The next prime is 46167045121. The reversal of 46167045120 is 2154076164.

46167045120 is a `hidden beast` number, since 46 + 167 + 0 + 451 + 2 + 0 = 666.

It is a super-2 number, since 2×46167045120² (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 not an unprimeable number, because it can be changed into a prime (46167045121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1489259505 + ... + 1489259535.

Almost surely, 2^46167045120 is an apocalyptic number.

46167045120 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 46167045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103129497600).

46167045120 is an abundant number, since it is smaller than the sum of its proper divisors (160091950080).

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

46167045120 is an equidigital number, since it uses as much as digits as its factorization.

46167045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

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

The spelling of 46167045120 in words is "forty-six billion, one hundred sixty-seven million, forty-five thousand, one hundred twenty".