1692872116416 has 168 divisors, whose sum is σ = 5297151874560. Its totient is φ = 513748168704.

The previous prime is 1692872116399. The next prime is 1692872116451. The reversal of 1692872116416 is 6146112782961.

1692872116416 is a `hidden beast` number, since 1 + 6 + 9 + 2 + 8 + 7 + 211 + 6 + 416 = 666.

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, 1001856 + ... + 2095103.

It is an arithmetic number, because the mean of its divisors is an integer number (31530665920).

Almost surely, 2^{1692872116416} is an apocalyptic number.

1692872116416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1692872116416 is an abundant number, since it is smaller than the sum of its proper divisors (3604279758144).

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

1692872116416 is a wasteful number, since it uses less digits than its factorization.

1692872116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097063 (or 3097050 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 1692872116416 in words is "one trillion, six hundred ninety-two billion, eight hundred seventy-two million, one hundred sixteen thousand, four hundred sixteen".