223101993703680 has 4320 divisors, whose sum is σ = 1025563053182976. Its totient is φ = 45888506560512.

The previous prime is 223101993703679. The next prime is 223101993703703. The reversal of 223101993703680 is 86307399101322.

223101993703680 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 0 + 199 + 370 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-3 number, since 3×223101993703680³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 561969757242 + ... + 561969757638.

Almost surely, 2^{223101993703680} is an apocalyptic number.

223101993703680 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 223101993703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512781526591488).

223101993703680 is an abundant number, since it is smaller than the sum of its proper divisors (802461059479296).

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

223101993703680 is a wasteful number, since it uses less digits than its factorization.

223101993703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 223101993703680 in words is "two hundred twenty-three trillion, one hundred one billion, nine hundred ninety-three million, seven hundred three thousand, six hundred eighty".