22361451840 has 1344 divisors, whose sum is σ = 105075532800. Its totient is φ = 4421910528.

The previous prime is 22361451839. The next prime is 22361451877. The reversal of 22361451840 is 4815416322.

It is a happy number.

22361451840 is a `hidden beast` number, since 2 + 23 + 614 + 5 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 22361451795 and 22361451804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93562441 + ... + 93562679.

It is an arithmetic number, because the mean of its divisors is an integer number (78181200).

Almost surely, 2^22361451840 is an apocalyptic number.

22361451840 is a gapful number since it is divisible by the number (20) 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 22361451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52537766400).

22361451840 is an abundant number, since it is smaller than the sum of its proper divisors (82714080960).

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

22361451840 is a wasteful number, since it uses less digits than its factorization.

22361451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 22361451840 in words is "twenty-two billion, three hundred sixty-one million, four hundred fifty-one thousand, eight hundred forty".