22113465630400 has 168 divisors, whose sum is σ = 57082069772640. Its totient is φ = 8420084736000.

The previous prime is 22113465630383. The next prime is 22113465630439. The reversal of 22113465630400 is 403656431122.

It is a self number, because there is not a number n which added to its sum of digits gives 22113465630400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61821 + ... + 6650620.

Almost surely, 2^{22113465630400} is an apocalyptic number.

22113465630400 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 22113465630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28541034886320).

22113465630400 is an abundant number, since it is smaller than the sum of its proper divisors (34968604142240).

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

22113465630400 is a wasteful number, since it uses less digits than its factorization.

22113465630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712563 (or 6712548 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 22113465630400 in words is "twenty-two trillion, one hundred thirteen billion, four hundred sixty-five million, six hundred thirty thousand, four hundred".