34456112136 has 96 divisors (see below), whose sum is σ = 97421051520. Its totient is φ = 10980921600.

The previous prime is 34456112129. The next prime is 34456112149. The reversal of 34456112136 is 63121165443.

34456112136 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 611 + 2 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34456112136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5413596 + ... + 5419956.

It is an arithmetic number, because the mean of its divisors is an integer number (1014802620).

Almost surely, 2^34456112136 is an apocalyptic number.

34456112136 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 34456112136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48710525760).

34456112136 is an abundant number, since it is smaller than the sum of its proper divisors (62964939384).

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

34456112136 is a wasteful number, since it uses less digits than its factorization.

34456112136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9667 (or 9660 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 34456112136 its reverse (63121165443), we get a palindrome (97577277579).

The spelling of 34456112136 in words is "thirty-four billion, four hundred fifty-six million, one hundred twelve thousand, one hundred thirty-six".