34153100448 has 48 divisors (see below), whose sum is σ = 90306316800. Its totient is φ = 11301264896.

The previous prime is 34153100383. The next prime is 34153100467. The reversal of 34153100448 is 84400135143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34153100448² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1285248 + ... + 1311551.

It is an arithmetic number, because the mean of its divisors is an integer number (1881381600).

Almost surely, 2^34153100448 is an apocalyptic number.

It is an amenable number.

34153100448 is an abundant number, since it is smaller than the sum of its proper divisors (56153216352).

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

34153100448 is a wasteful number, since it uses less digits than its factorization.

34153100448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596949 (or 2596941 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 34153100448 in words is "thirty-four billion, one hundred fifty-three million, one hundred thousand, four hundred forty-eight".