31334688000000 has 3360 divisors, whose sum is σ = 146788514832960. Its totient is φ = 6469632000000.

The previous prime is 31334687999999. The next prime is 31334688000029. The reversal of 31334688000000 is 88643313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 199583999922 + ... + 199584000078.

It is an arithmetic number, because the mean of its divisors is an integer number (43687057986).

Almost surely, 2^{31334688000000} is an apocalyptic number.

31334688000000 is a gapful number since it is divisible by the number (30) 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 31334688000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73394257416480).

31334688000000 is an abundant number, since it is smaller than the sum of its proper divisors (115453826832960).

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

31334688000000 is an frugal number, since it uses more digits than its factorization.

31334688000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31334688000000 in words is "thirty-one trillion, three hundred thirty-four billion, six hundred eighty-eight million", and thus it is an aban number.