31719068349696 has 3456 divisors, whose sum is σ = 130113151795200. Its totient is φ = 7618738176000.

The previous prime is 31719068349673. The next prime is 31719068349697. The reversal of 31719068349696 is 69694386091713.

31719068349696 is a `hidden beast` number, since 3 + 1 + 7 + 190 + 6 + 8 + 349 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31719068349697) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 210060055221 + ... + 210060055371.

Almost surely, 2^{31719068349696} is an apocalyptic number.

31719068349696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31719068349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65056575897600).

31719068349696 is an abundant number, since it is smaller than the sum of its proper divisors (98394083445504).

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

31719068349696 is a wasteful number, since it uses less digits than its factorization.

31719068349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 31719068349696 in words is "thirty-one trillion, seven hundred nineteen billion, sixty-eight million, three hundred forty-nine thousand, six hundred ninety-six".