46015089120 has 960 divisors, whose sum is σ = 218102201856. Its totient is φ = 8823582720.

The previous prime is 46015089073. The next prime is 46015089187. The reversal of 46015089120 is 2198051064.

46015089120 is a `hidden beast` number, since 4 + 60 + 1 + 508 + 91 + 2 + 0 = 666.

46015089120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 12971187 + ... + 12974733.

Almost surely, 2^46015089120 is an apocalyptic number.

46015089120 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 46015089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109051100928).

46015089120 is an abundant number, since it is smaller than the sum of its proper divisors (172087112736).

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

46015089120 is a wasteful number, since it uses less digits than its factorization.

46015089120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 46015089120 in words is "forty-six billion, fifteen million, eighty-nine thousand, one hundred twenty".