21885294144 has 168 divisors, whose sum is σ = 70288026048. Its totient is φ = 5981015040.

The previous prime is 21885294143. The next prime is 21885294149. The reversal of 21885294144 is 44149258812.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 21885294093 and 21885294102.

It is not an unprimeable number, because it can be changed into a prime (21885294143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165814 + ... + 266954.

Almost surely, 2^21885294144 is an apocalyptic number.

21885294144 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 21885294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35144013024).

21885294144 is an abundant number, since it is smaller than the sum of its proper divisors (48402731904).

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

21885294144 is a wasteful number, since it uses less digits than its factorization.

21885294144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101193 (or 101176 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The spelling of 21885294144 in words is "twenty-one billion, eight hundred eighty-five million, two hundred ninety-four thousand, one hundred forty-four".