22460448816000 has 576 divisors, whose sum is σ = 87343164969840. Its totient is φ = 5528719872000.

The previous prime is 22460448815869. The next prime is 22460448816017. The reversal of 22460448816000 is 61884406422.

22460448816000 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 0 + 4 + 488 + 160 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×22460448816000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23874535 + ... + 24797465.

Almost surely, 2^{22460448816000} is an apocalyptic number.

22460448816000 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 22460448816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43671582484920).

22460448816000 is an abundant number, since it is smaller than the sum of its proper divisors (64882716153840).

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

22460448816000 is a wasteful number, since it uses less digits than its factorization.

22460448816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922992 (or 922954 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 22460448816000 in words is "twenty-two trillion, four hundred sixty billion, four hundred forty-eight million, eight hundred sixteen thousand".