21862336968 has 128 divisors (see below), whose sum is σ = 61146624000. Its totient is φ = 7237512000.

The previous prime is 21862336967. The next prime is 21862336973. The reversal of 21862336968 is 86963326812.

21862336968 is a `hidden beast` number, since 2 + 1 + 8 + 623 + 3 + 6 + 9 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (21862336967) 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, 29110593 + ... + 29111343.

It is an arithmetic number, because the mean of its divisors is an integer number (477708000).

Almost surely, 2^21862336968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21862336968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30573312000).

21862336968 is an abundant number, since it is smaller than the sum of its proper divisors (39284287032).

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

21862336968 is a wasteful number, since it uses less digits than its factorization.

21862336968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1502 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 21862336968 in words is "twenty-one billion, eight hundred sixty-two million, three hundred thirty-six thousand, nine hundred sixty-eight".