219915972001 has 16 divisors (see below), whose sum is σ = 242622692928. Its totient is φ = 197673280000.

The previous prime is 219915971987. The next prime is 219915972011. The reversal of 219915972001 is 100279519912.

It is a cyclic number.

It is not a de Polignac number, because 219915972001 - 2¹⁵ = 219915939233 is a prime.

It is a super-2 number, since 2×219915972001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (219915972011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87561 + ... + 668953.

It is an arithmetic number, because the mean of its divisors is an integer number (15163918308).

Almost surely, 2^219915972001 is an apocalyptic number.

It is an amenable number.

219915972001 is a deficient number, since it is larger than the sum of its proper divisors (22706720927).

219915972001 is a wasteful number, since it uses less digits than its factorization.

219915972001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581792.

The product of its (nonzero) digits is 102060, while the sum is 46.

The spelling of 219915972001 in words is "two hundred nineteen billion, nine hundred fifteen million, nine hundred seventy-two thousand, one".