21642333324612 has 96 divisors (see below), whose sum is σ = 67802554788864. Its totient is φ = 5188971024000.

The previous prime is 21642333324607. The next prime is 21642333324707.

21642333324612 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21642333324612² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 900851014 + ... + 900875037.

It is an arithmetic number, because the mean of its divisors is an integer number (706276612384).

Almost surely, 2^{21642333324612} is an apocalyptic number.

21642333324612 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21642333324612 is an abundant number, since it is smaller than the sum of its proper divisors (46160221464252).

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

21642333324612 is a wasteful number, since it uses less digits than its factorization.

21642333324612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801726089 (or 1801726087 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 2164233 and 3324612, that added together give a palindrome (5488845).

The spelling of 21642333324612 in words is "twenty-one trillion, six hundred forty-two billion, three hundred thirty-three million, three hundred twenty-four thousand, six hundred twelve".