34156926495648 has 144 divisors (see below), whose sum is σ = 105979357725696. Its totient is φ = 10349093560320.

The previous prime is 34156926495613. The next prime is 34156926495649. The reversal of 34156926495648 is 84659462965143.

It is a happy number.

34156926495648 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 6 + 92 + 6 + 495 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (34156926495649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21330465 + ... + 22875807.

It is an arithmetic number, because the mean of its divisors is an integer number (735967761984).

Almost surely, 2^{34156926495648} 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 34156926495648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52989678862848).

34156926495648 is an abundant number, since it is smaller than the sum of its proper divisors (71822431230048).

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

34156926495648 is a wasteful number, since it uses less digits than its factorization.

34156926495648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552347 (or 1552336 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 72.

The spelling of 34156926495648 in words is "thirty-four trillion, one hundred fifty-six billion, nine hundred twenty-six million, four hundred ninety-five thousand, six hundred forty-eight".