123827492256 has 96 divisors (see below), whose sum is σ = 350515888128. Its totient is φ = 38050145280.

The previous prime is 123827492231. The next prime is 123827492263. The reversal of 123827492256 is 652294728321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 123827492199 and 123827492208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879201 + ... + 1010271.

It is an arithmetic number, because the mean of its divisors is an integer number (3651207168).

Almost surely, 2^123827492256 is an apocalyptic number.

123827492256 is a gapful number since it is divisible by the number (16) 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 123827492256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175257944064).

123827492256 is an abundant number, since it is smaller than the sum of its proper divisors (226688395872).

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

123827492256 is a wasteful number, since it uses less digits than its factorization.

123827492256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131854 (or 131846 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 123827492256 in words is "one hundred twenty-three billion, eight hundred twenty-seven million, four hundred ninety-two thousand, two hundred fifty-six".