22254948858240 has 2688 divisors, whose sum is σ = 99116574786720. Its totient is φ = 4745564651520.

The previous prime is 22254948858209. The next prime is 22254948858253. The reversal of 22254948858240 is 4285884945222.

22254948858240 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 4 + 9 + 4 + 8 + 8 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 67235494875 + ... + 67235495205.

Almost surely, 2^{22254948858240} is an apocalyptic number.

22254948858240 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 22254948858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49558287393360).

22254948858240 is an abundant number, since it is smaller than the sum of its proper divisors (76861625928480).

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

22254948858240 is a wasteful number, since it uses less digits than its factorization.

22254948858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 22254948858240 in words is "twenty-two trillion, two hundred fifty-four billion, nine hundred forty-eight million, eight hundred fifty-eight thousand, two hundred forty".