46857677675864 has 128 divisors (see below), whose sum is σ = 100570937333760. Its totient is φ = 20271565440000.

The previous prime is 46857677675789. The next prime is 46857677675881.

46857677675864 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×46857677675864³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2754543119 + ... + 2754560129.

It is an arithmetic number, because the mean of its divisors is an integer number (785710447920).

Almost surely, 2^{46857677675864} is an apocalyptic number.

46857677675864 is a gapful number since it is divisible by the number (44) 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 46857677675864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50285468666880).

46857677675864 is an abundant number, since it is smaller than the sum of its proper divisors (53713259657896).

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

46857677675864 is a wasteful number, since it uses less digits than its factorization.

46857677675864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33673 (or 33669 counting only the distinct ones).

The product of its digits is 79659417600, while the sum is 86.

The spelling of 46857677675864 in words is "forty-six trillion, eight hundred fifty-seven billion, six hundred seventy-seven million, six hundred seventy-five thousand, eight hundred sixty-four".