31468747967712 has 288 divisors, whose sum is σ = 97958498287104. Its totient is φ = 9503422156800.

The previous prime is 31468747967621. The next prime is 31468747967749. The reversal of 31468747967712 is 21776974786413.

31468747967712 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 87 + 479 + 6 + 7 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×31468747967712³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 1293029208 + ... + 1293053544.

It is an arithmetic number, because the mean of its divisors is an integer number (340133674608).

Almost surely, 2^{31468747967712} is an apocalyptic number.

31468747967712 is a gapful number since it is divisible by the number (32) 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 31468747967712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48979249143552).

31468747967712 is an abundant number, since it is smaller than the sum of its proper divisors (66489750319392).

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

31468747967712 is a wasteful number, since it uses less digits than its factorization.

31468747967712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25742 (or 25731 counting only the distinct ones).

The product of its digits is 597445632, while the sum is 72.

The spelling of 31468747967712 in words is "thirty-one trillion, four hundred sixty-eight billion, seven hundred forty-seven million, nine hundred sixty-seven thousand, seven hundred twelve".