219088961135716 has 81 divisors (see below), whose sum is σ = 452403109759251. Its totient is φ = 92566583785200.

The previous prime is 219088961135591. The next prime is 219088961135773. The reversal of 219088961135716 is 617531169880912.

The square root of 219088961135716 is 14801654.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14712836631 + ... + 14712851521.

Almost surely, 2^{219088961135716} is an apocalyptic number.

219088961135716 is the 14801654-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219088961135716

219088961135716 is an abundant number, since it is smaller than the sum of its proper divisors (233314148623535).

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

219088961135716 is an frugal number, since it uses more digits than its factorization.

219088961135716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29942 (or 14971 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 67.

The spelling of 219088961135716 in words is "two hundred nineteen trillion, eighty-eight billion, nine hundred sixty-one million, one hundred thirty-five thousand, seven hundred sixteen".