46846628136 has 576 divisors, whose sum is σ = 171345283200. Its totient is φ = 11277066240.

The previous prime is 46846628131. The next prime is 46846628161. The reversal of 46846628136 is 63182664864.

46846628136 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 6 + 628 + 1 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46846628131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75680835 + ... + 75681453.

It is an arithmetic number, because the mean of its divisors is an integer number (297474450).

Almost surely, 2^46846628136 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 46846628136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85672641600).

46846628136 is an abundant number, since it is smaller than the sum of its proper divisors (124498655064).

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

46846628136 is a wasteful number, since it uses less digits than its factorization.

46846628136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 732 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 46846628136 in words is "forty-six billion, eight hundred forty-six million, six hundred twenty-eight thousand, one hundred thirty-six".