46091437128 has 288 divisors, whose sum is σ = 149796410400. Its totient is φ = 13230708480.

The previous prime is 46091437111. The next prime is 46091437151. The reversal of 46091437128 is 82173419064.

46091437128 is a `hidden beast` number, since 4 + 6 + 0 + 91 + 437 + 128 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4464100 + ... + 4474412.

It is an arithmetic number, because the mean of its divisors is an integer number (520126425).

Almost surely, 2^46091437128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46091437128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74898205200).

46091437128 is an abundant number, since it is smaller than the sum of its proper divisors (103704973272).

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

46091437128 is a wasteful number, since it uses less digits than its factorization.

46091437128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 46091437128 in words is "forty-six billion, ninety-one million, four hundred thirty-seven thousand, one hundred twenty-eight".