34014403551618 has 128 divisors (see below), whose sum is σ = 86704247562240. Its totient is φ = 9682601328000.

The previous prime is 34014403551593. The next prime is 34014403551619. The reversal of 34014403551618 is 81615530441043.

It is a happy number.

34014403551618 is a `hidden beast` number, since 3 + 40 + 1 + 4 + 40 + 3 + 551 + 6 + 18 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34014403551619) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 276476118 + ... + 276599118.

It is an arithmetic number, because the mean of its divisors is an integer number (677376934080).

Almost surely, 2^{34014403551618} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014403551618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352123781120).

34014403551618 is an abundant number, since it is smaller than the sum of its proper divisors (52689844010622).

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

34014403551618 is a wasteful number, since it uses less digits than its factorization.

34014403551618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125709 (or 125703 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 34014403551618 in words is "thirty-four trillion, fourteen billion, four hundred three million, five hundred fifty-one thousand, six hundred eighteen".