123313378944 has 128 divisors (see below), whose sum is σ = 378051396480. Its totient is φ = 34883481600.

The previous prime is 123313378943. The next prime is 123313378961. The reversal of 123313378944 is 449873313321.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 123313378893 and 123313378902.

It is not an unprimeable number, because it can be changed into a prime (123313378943) 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, 44382 + ... + 498594.

It is an arithmetic number, because the mean of its divisors is an integer number (2953526535).

Almost surely, 2^123313378944 is an apocalyptic number.

123313378944 is a gapful number since it is divisible by the number (14) 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 123313378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189025698240).

123313378944 is an abundant number, since it is smaller than the sum of its proper divisors (254738017536).

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

123313378944 is a wasteful number, since it uses less digits than its factorization.

123313378944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454338 (or 454326 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The spelling of 123313378944 in words is "one hundred twenty-three billion, three hundred thirteen million, three hundred seventy-eight thousand, nine hundred forty-four".