34164131456 has 96 divisors (see below), whose sum is σ = 84228458400. Its totient is φ = 13515420672.

The previous prime is 34164131429. The next prime is 34164131479. The reversal of 34164131456 is 65413146143.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 38615 + ... + 264233.

It is an arithmetic number, because the mean of its divisors is an integer number (877379775).

Almost surely, 2^34164131456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34164131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42114229200).

34164131456 is an abundant number, since it is smaller than the sum of its proper divisors (50064326944).

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

34164131456 is a wasteful number, since it uses less digits than its factorization.

34164131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225666 (or 225641 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

Adding to 34164131456 its reverse (65413146143), we get a palindrome (99577277599).

The spelling of 34164131456 in words is "thirty-four billion, one hundred sixty-four million, one hundred thirty-one thousand, four hundred fifty-six".