22874886144 has 312 divisors, whose sum is σ = 75901082400. Its totient is φ = 6564741120.

The previous prime is 22874886131. The next prime is 22874886149. The reversal of 22874886144 is 44168847822.

22874886144 is a `hidden beast` number, since 22 + 87 + 488 + 61 + 4 + 4 = 666.

It is a super-2 number, since 2×22874886144² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22874886149) 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, 7703092 + ... + 7706060.

It is an arithmetic number, because the mean of its divisors is an integer number (243272700).

Almost surely, 2^22874886144 is an apocalyptic number.

22874886144 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 22874886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37950541200).

22874886144 is an abundant number, since it is smaller than the sum of its proper divisors (53026196256).

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

22874886144 is a wasteful number, since it uses less digits than its factorization.

22874886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3004 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 22874886144 in words is "twenty-two billion, eight hundred seventy-four million, eight hundred eighty-six thousand, one hundred forty-four".