34131137161968 has 1680 divisors, whose sum is σ = 136488861341280. Its totient is φ = 8139195187200.

The previous prime is 34131137161867. The next prime is 34131137161973. The reversal of 34131137161968 is 86916173113143.

34131137161968 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 1 + 13 + 7 + 1 + 619 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4381962618 + ... + 4381970406.

It is an arithmetic number, because the mean of its divisors is an integer number (81243369846).

Almost surely, 2^{34131137161968} 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 34131137161968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68244430670640).

34131137161968 is an abundant number, since it is smaller than the sum of its proper divisors (102357724179312).

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

34131137161968 is a wasteful number, since it uses less digits than its factorization.

34131137161968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7870 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 34131137161968 in words is "thirty-four trillion, one hundred thirty-one billion, one hundred thirty-seven million, one hundred sixty-one thousand, nine hundred sixty-eight".