34148866752 has 504 divisors, whose sum is σ = 133784016912. Its totient is φ = 8186572800.

The previous prime is 34148866747. The next prime is 34148866753. The reversal of 34148866752 is 25766884143.

It is a happy number.

34148866752 is a `hidden beast` number, since 34 + 1 + 488 + 66 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×34148866752² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34148866753) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4031802 + ... + 4040262.

It is an arithmetic number, because the mean of its divisors is an integer number (265444478).

Almost surely, 2^34148866752 is an apocalyptic number.

34148866752 is a gapful number since it is divisible by the number (32) 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 34148866752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66892008456).

34148866752 is an abundant number, since it is smaller than the sum of its proper divisors (99635150160).

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

34148866752 is a wasteful number, since it uses less digits than its factorization.

34148866752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517 (or 8497 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 34148866752 in words is "thirty-four billion, one hundred forty-eight million, eight hundred sixty-six thousand, seven hundred fifty-two".