22348006686720 has 2000 divisors, whose sum is σ = 98221604164992. Its totient is φ = 4783519825920.

The previous prime is 22348006686679. The next prime is 22348006686787. The reversal of 22348006686720 is 2768660084322.

22348006686720 is a `hidden beast` number, since 2 + 2 + 3 + 480 + 0 + 66 + 86 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 971652464629 + ... + 971652464651.

Almost surely, 2^{22348006686720} is an apocalyptic number.

22348006686720 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 22348006686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49110802082496).

22348006686720 is an abundant number, since it is smaller than the sum of its proper divisors (75873597478272).

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

22348006686720 is an frugal number, since it uses more digits than its factorization.

22348006686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 22348006686720 in words is "twenty-two trillion, three hundred forty-eight billion, six million, six hundred eighty-six thousand, seven hundred twenty".