46867644676864 has 72 divisors (see below), whose sum is σ = 102071768924160. Its totient is φ = 21300383462400.

The previous prime is 46867644676837. The next prime is 46867644676903.

46867644676864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46867644676864² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18257257 + ... + 20665495.

It is an arithmetic number, because the mean of its divisors is an integer number (1417663457280).

Almost surely, 2^{46867644676864} is an apocalyptic number.

46867644676864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46867644676864 is an abundant number, since it is smaller than the sum of its proper divisors (55204124247296).

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

46867644676864 is a wasteful number, since it uses less digits than its factorization.

46867644676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415177 (or 2415163 counting only the distinct ones).

The product of its digits is 37456183296, while the sum is 82.

It can be divided in two parts, 4686764 and 4676864, that added together give a triangular number (9363628 = T₄₃₂₇).

The spelling of 46867644676864 in words is "forty-six trillion, eight hundred sixty-seven billion, six hundred forty-four million, six hundred seventy-six thousand, eight hundred sixty-four".