34125138534816 has 192 divisors, whose sum is σ = 113789704089600. Its totient is φ = 9746675958528.

The previous prime is 34125138534793. The next prime is 34125138534833. The reversal of 34125138534816 is 61843583152143.

It is a happy number.

34125138534816 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 513 + 85 + 3 + 48 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16585525 + ... + 18529163.

It is an arithmetic number, because the mean of its divisors is an integer number (592654708800).

Almost surely, 2^{34125138534816} is an apocalyptic number.

34125138534816 is a gapful number since it is divisible by the number (36) 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 34125138534816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56894852044800).

34125138534816 is an abundant number, since it is smaller than the sum of its proper divisors (79664565554784).

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

34125138534816 is a wasteful number, since it uses less digits than its factorization.

34125138534816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946568 (or 1946554 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 34125138534816 in words is "thirty-four trillion, one hundred twenty-five billion, one hundred thirty-eight million, five hundred thirty-four thousand, eight hundred sixteen".