46201676100 has 144 divisors (see below), whose sum is σ = 135598821120. Its totient is φ = 12144003200.

The previous prime is 46201676077. The next prime is 46201676111. The reversal of 46201676100 is 167610264.

It is a super-2 number, since 2×46201676100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12224011 + ... + 12227789.

It is an arithmetic number, because the mean of its divisors is an integer number (941658480).

Almost surely, 2^46201676100 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 46201676100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67799410560).

46201676100 is an abundant number, since it is smaller than the sum of its proper divisors (89397145020).

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

46201676100 is a wasteful number, since it uses less digits than its factorization.

46201676100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 46201676100 in words is "forty-six billion, two hundred one million, six hundred seventy-six thousand, one hundred".