21864677646812 has 96 divisors (see below), whose sum is σ = 54396368087040. Its totient is φ = 7400866360320.

The previous prime is 21864677646809. The next prime is 21864677646817.

21864677646812 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21864677646817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160541012 + ... + 160677147.

It is an arithmetic number, because the mean of its divisors is an integer number (566628834240).

Almost surely, 2^{21864677646812} is an apocalyptic number.

21864677646812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21864677646812 is an abundant number, since it is smaller than the sum of its proper divisors (32531690440228).

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

21864677646812 is a wasteful number, since it uses less digits than its factorization.

21864677646812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321218211 (or 321218209 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 68.

The spelling of 21864677646812 in words is "twenty-one trillion, eight hundred sixty-four billion, six hundred seventy-seven million, six hundred forty-six thousand, eight hundred twelve".