46872227864 has 96 divisors (see below), whose sum is σ = 111496240800. Its totient is φ = 18080832000.

The previous prime is 46872227813. The next prime is 46872227867.

46872227864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46872227867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650132 + ... + 718620.

It is an arithmetic number, because the mean of its divisors is an integer number (1161419175).

Almost surely, 2^46872227864 is an apocalyptic number.

46872227864 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 46872227864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55748120400).

46872227864 is an abundant number, since it is smaller than the sum of its proper divisors (64624012936).

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

46872227864 is a wasteful number, since it uses less digits than its factorization.

46872227864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68625 (or 68610 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 56.

The spelling of 46872227864 in words is "forty-six billion, eight hundred seventy-two million, two hundred twenty-seven thousand, eight hundred sixty-four".