22390254144 has 224 divisors, whose sum is σ = 66739008000. Its totient is φ = 7360450560.

The previous prime is 22390254137. The next prime is 22390254157. The reversal of 22390254144 is 44145209322.

It is a happy number.

22390254144 is a `hidden beast` number, since 2 + 2 + 390 + 254 + 14 + 4 = 666.

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 = 22390254099 and 22390254108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64155282 + ... + 64155630.

It is an arithmetic number, because the mean of its divisors is an integer number (297942000).

Almost surely, 2^22390254144 is an apocalyptic number.

22390254144 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 22390254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33369504000).

22390254144 is an abundant number, since it is smaller than the sum of its proper divisors (44348753856).

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

22390254144 is a wasteful number, since it uses less digits than its factorization.

22390254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22390254144 in words is "twenty-two billion, three hundred ninety million, two hundred fifty-four thousand, one hundred forty-four".