46634091120 has 240 divisors, whose sum is σ = 167654602752. Its totient is φ = 12034448640.

The previous prime is 46634091037. The next prime is 46634091157. The reversal of 46634091120 is 2119043664.

46634091120 is a `hidden beast` number, since 4 + 6 + 634 + 0 + 9 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563949 + ... + 641331.

Almost surely, 2^46634091120 is an apocalyptic number.

46634091120 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 46634091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83827301376).

46634091120 is an abundant number, since it is smaller than the sum of its proper divisors (121020511632).

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

46634091120 is a wasteful number, since it uses less digits than its factorization.

46634091120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77442 (or 77424 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 46634091120 in words is "forty-six billion, six hundred thirty-four million, ninety-one thousand, one hundred twenty".