21892158144 has 224 divisors, whose sum is σ = 65436089600. Its totient is φ = 7176314880.

The previous prime is 21892158133. The next prime is 21892158173. The reversal of 21892158144 is 44185129812.

21892158144 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 21 + 581 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21892158144.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35366667 + ... + 35367285.

It is an arithmetic number, because the mean of its divisors is an integer number (292125400).

Almost surely, 2^21892158144 is an apocalyptic number.

21892158144 is a gapful number since it is divisible by the number (24) 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 21892158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32718044800).

21892158144 is an abundant number, since it is smaller than the sum of its proper divisors (43543931456).

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

21892158144 is a wasteful number, since it uses less digits than its factorization.

21892158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 932 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 21892158144 in words is "twenty-one billion, eight hundred ninety-two million, one hundred fifty-eight thousand, one hundred forty-four".