109148965248 has 128 divisors (see below), whose sum is σ = 292712745600. Its totient is φ = 36034519040.

The previous prime is 109148965213. The next prime is 109148965249. The reversal of 109148965248 is 842569841901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×109148965248² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109148965249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29828443 + ... + 29832101.

It is an arithmetic number, because the mean of its divisors is an integer number (2286818325).

Almost surely, 2^109148965248 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 109148965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146356372800).

109148965248 is an abundant number, since it is smaller than the sum of its proper divisors (183563780352).

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

109148965248 is a wasteful number, since it uses less digits than its factorization.

109148965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 109148965248 in words is "one hundred nine billion, one hundred forty-eight million, nine hundred sixty-five thousand, two hundred forty-eight".