21892014144 has 672 divisors, whose sum is σ = 86308045824. Its totient is φ = 5120962560.

The previous prime is 21892014107. The next prime is 21892014223. The reversal of 21892014144 is 44141029812.

21892014144 is a `hidden beast` number, since 218 + 9 + 20 + 1 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21892014099 and 21892014108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24792327 + ... + 24793209.

It is an arithmetic number, because the mean of its divisors is an integer number (128434592).

Almost surely, 2^21892014144 is an apocalyptic number.

21892014144 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 21892014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43154022912).

21892014144 is an abundant number, since it is smaller than the sum of its proper divisors (64416031680).

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

21892014144 is a wasteful number, since it uses less digits than its factorization.

21892014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 21892014144 in words is "twenty-one billion, eight hundred ninety-two million, fourteen thousand, one hundred forty-four".