22341878784 has 231 divisors, whose sum is σ = 67351579213. Its totient is φ = 7404244992.

The previous prime is 22341878773. The next prime is 22341878789. The reversal of 22341878784 is 48787814322.

The square root of 22341878784 is 149472.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20323353600 + 2018525184 = 142560^2 + 44928^2 .

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

It is a Duffinian number.

Its product of digits (4816896) is a multiple of the sum of its prime factors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 22341878784.

It is not an unprimeable number, because it can be changed into a prime (22341878789) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 129143722 + ... + 129143894.

Almost surely, 2^22341878784 is an apocalyptic number.

22341878784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22341878784 is the 149472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22341878784

22341878784 is an abundant number, since it is smaller than the sum of its proper divisors (45009700429).

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

22341878784 is an frugal number, since it uses more digits than its factorization.

22341878784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 178 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 22341878784 in words is "twenty-two billion, three hundred forty-one million, eight hundred seventy-eight thousand, seven hundred eighty-four".