31138797864384 has 1344 divisors, whose sum is σ = 113395494051840. Its totient is φ = 8280909987840.

The previous prime is 31138797864379. The next prime is 31138797864409. The reversal of 31138797864384 is 48346879783113.

31138797864384 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 87 + 97 + 86 + 4 + 384 = 666.

31138797864384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36505038102 + ... + 36505038954.

It is an arithmetic number, because the mean of its divisors is an integer number (84371647360).

Almost surely, 2^{31138797864384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31138797864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56697747025920).

31138797864384 is an abundant number, since it is smaller than the sum of its proper divisors (82256696187456).

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

31138797864384 is a wasteful number, since it uses less digits than its factorization.

31138797864384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1298 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 31138797864384 in words is "thirty-one trillion, one hundred thirty-eight billion, seven hundred ninety-seven million, eight hundred sixty-four thousand, three hundred eighty-four".