34856840145096 has 160 divisors (see below), whose sum is σ = 99240728689080. Its totient is φ = 11427460300800.

The previous prime is 34856840145089. The next prime is 34856840145133. The reversal of 34856840145096 is 69054104865843.

34856840145096 is a `hidden beast` number, since 3 + 4 + 8 + 56 + 8 + 40 + 1 + 450 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14176083432996 + 20680756712100 = 3765114^2 + 4547610^2 .

It is a super-2 number, since 2×34856840145096² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 541382826 + ... + 541447206.

Almost surely, 2^{34856840145096} is an apocalyptic number.

34856840145096 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 34856840145096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49620364344540).

34856840145096 is an abundant number, since it is smaller than the sum of its proper divisors (64383888543984).

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

34856840145096 is a wasteful number, since it uses less digits than its factorization.

34856840145096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78157 (or 78144 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 34856840145096 in words is "thirty-four trillion, eight hundred fifty-six billion, eight hundred forty million, one hundred forty-five thousand, ninety-six".