22614790464 has 420 divisors, whose sum is σ = 82585146996. Its totient is φ = 6080126976.

The previous prime is 22614790417. The next prime is 22614790477. The reversal of 22614790464 is 46409741622.

22614790464 is a `hidden beast` number, since 2 + 2 + 61 + 47 + 90 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18517766400 + 4097024064 = 136080^2 + 64008^2 .

It is a super-2 number, since 2×22614790464² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4315654 + ... + 4320890.

Almost surely, 2^22614790464 is an apocalyptic number.

22614790464 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 22614790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292573498).

22614790464 is an abundant number, since it is smaller than the sum of its proper divisors (59970356532).

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

22614790464 is a wasteful number, since it uses less digits than its factorization.

22614790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22614790464 in words is "twenty-two billion, six hundred fourteen million, seven hundred ninety thousand, four hundred sixty-four".