34159448064 has 416 divisors, whose sum is σ = 108703088640. Its totient is φ = 9339273216.

The previous prime is 34159448017. The next prime is 34159448107. The reversal of 34159448064 is 46084495143.

It is a happy number.

It is a super-2 number, since 2×34159448064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268971969 + ... + 268972095.

Almost surely, 2^34159448064 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 34159448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54351544320).

34159448064 is an abundant number, since it is smaller than the sum of its proper divisors (74543640576).

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

34159448064 is a wasteful number, since it uses less digits than its factorization.

34159448064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 34159448064 in words is "thirty-four billion, one hundred fifty-nine million, four hundred forty-eight thousand, sixty-four".