34144606116 has 72 divisors (see below), whose sum is σ = 91202791680. Its totient is φ = 10748859264.

The previous prime is 34144606091. The next prime is 34144606121. The reversal of 34144606116 is 61160644143.

34144606116 is a `hidden beast` number, since 3 + 4 + 1 + 44 + 606 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195585 + ... + 326408.

It is an arithmetic number, because the mean of its divisors is an integer number (1266705440).

Almost surely, 2^34144606116 is an apocalyptic number.

34144606116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34144606116 is an abundant number, since it is smaller than the sum of its proper divisors (57058185564).

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

34144606116 is a wasteful number, since it uses less digits than its factorization.

34144606116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522105 (or 522100 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 34144606116 in words is "thirty-four billion, one hundred forty-four million, six hundred six thousand, one hundred sixteen".