201723468984576 has 216 divisors, whose sum is σ = 725134743313344. Its totient is φ = 52395706183680.

The previous prime is 201723468984563. The next prime is 201723468984589. The reversal of 201723468984576 is 675489864327102.

201723468984576 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 2 + 3 + 46 + 8 + 9 + 8 + 4 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (201723468984563) and next prime (201723468984589).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 568352391 + ... + 568707206.

It is a 1-persistent number, because it is pandigital, but 2⋅201723468984576 = 403446937969152 is not.

Almost surely, 2^{201723468984576} is an apocalyptic number.

It is an amenable number.

201723468984576 is an abundant number, since it is smaller than the sum of its proper divisors (523411274328768).

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

201723468984576 is a wasteful number, since it uses less digits than its factorization.

201723468984576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137059637 (or 1137059620 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 201723468984576 in words is "two hundred one trillion, seven hundred twenty-three billion, four hundred sixty-eight million, nine hundred eighty-four thousand, five hundred seventy-six".