22243207417920 has 896 divisors, whose sum is σ = 86216291758080. Its totient is φ = 5375872696320.

The previous prime is 22243207417919. The next prime is 22243207417973. The reversal of 22243207417920 is 2971470234222.

22243207417920 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 3 + 207 + 417 + 9 + 20 = 666.

It is a super-2 number, since 2×22243207417920² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448399839 + ... + 448449441.

Almost surely, 2^{22243207417920} is an apocalyptic number.

22243207417920 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 22243207417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43108145879040).

22243207417920 is an abundant number, since it is smaller than the sum of its proper divisors (63973084340160).

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

22243207417920 is a wasteful number, since it uses less digits than its factorization.

22243207417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49760 (or 49744 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 22243207417920 in words is "twenty-two trillion, two hundred forty-three billion, two hundred seven million, four hundred seventeen thousand, nine hundred twenty".