34131861693504 has 189 divisors, whose sum is σ = 98354427225093. Its totient is φ = 11316948493824.

The previous prime is 34131861693463. The next prime is 34131861693583. The reversal of 34131861693504 is 40539616813143.

The square root of 34131861693504 is 5842248.

It is a perfect power (a square), and thus also a powerful number.

34131861693504 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 18 + 61 + 69 + 3 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31788757975104 + 2343103718400 = 5638152^2 + 1530720^2 .

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 26 ways as a sum of consecutive naturals, for example, 32108994477 + ... + 32108995539.

Almost surely, 2^{34131861693504} is an apocalyptic number.

34131861693504 is the 5842248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34131861693504

34131861693504 is an abundant number, since it is smaller than the sum of its proper divisors (64222565531589).

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

34131861693504 is an frugal number, since it uses more digits than its factorization.

34131861693504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 34131861693504 in words is "thirty-four trillion, one hundred thirty-one billion, eight hundred sixty-one million, six hundred ninety-three thousand, five hundred four".