16930986513984 has 105 divisors (see below), whose sum is σ = 50189626248817. Its totient is φ = 5643563417856.

The previous prime is 16930986513979. The next prime is 16930986513997. The reversal of 16930986513984 is 48931568903961.

The square root of 16930986513984 is 4114728.

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

16930986513984 is a `hidden beast` number, since 1 + 6 + 93 + 0 + 98 + 65 + 1 + 398 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 429192696384 + 16501793817600 = 655128^2 + 4062240^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 296231842 + ... + 296288990.

Almost surely, 2^{16930986513984} is an apocalyptic number.

16930986513984 is the 4114728-th square number.

It is an amenable number.

16930986513984 is an abundant number, since it is smaller than the sum of its proper divisors (33258639734833).

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

16930986513984 is an frugal number, since it uses more digits than its factorization.

16930986513984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114322 (or 57154 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 16930986513984 in words is "sixteen trillion, nine hundred thirty billion, nine hundred eighty-six million, five hundred thirteen thousand, nine hundred eighty-four".