22213498368600 has 1440 divisors, whose sum is σ = 99249637014000. Its totient is φ = 4552431206400.

The previous prime is 22213498368599. The next prime is 22213498368619. The reversal of 22213498368600 is 686389431222.

22213498368600 is a `hidden beast` number, since 2 + 2 + 2 + 134 + 98 + 368 + 60 + 0 = 666.

It is a super-2 number, since 2×22213498368600² (a number of 27 digits) contains 22 as substring.

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 359 ways as a sum of consecutive naturals, for example, 637403976 + ... + 637438824.

Almost surely, 2^{22213498368600} is an apocalyptic number.

22213498368600 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 22213498368600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49624818507000).

22213498368600 is an abundant number, since it is smaller than the sum of its proper divisors (77036138645400).

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

22213498368600 is a wasteful number, since it uses less digits than its factorization.

22213498368600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34975 (or 34950 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 22213498368600 in words is "twenty-two trillion, two hundred thirteen billion, four hundred ninety-eight million, three hundred sixty-eight thousand, six hundred".