123258314088 has 1024 divisors, whose sum is σ = 469750579200. Its totient is φ = 29023764480.

The previous prime is 123258314041. The next prime is 123258314099. The reversal of 123258314088 is 880413852321.

123258314088 is a `hidden beast` number, since 1 + 2 + 3 + 258 + 314 + 0 + 88 = 666.

It is a super-2 number, since 2×123258314088² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 756185895 + ... + 756186057.

It is an arithmetic number, because the mean of its divisors is an integer number (458740800).

Almost surely, 2^123258314088 is an apocalyptic number.

123258314088 is a gapful number since it is divisible by the number (18) 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 123258314088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234875289600).

123258314088 is an abundant number, since it is smaller than the sum of its proper divisors (346492265112).

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

123258314088 is a wasteful number, since it uses less digits than its factorization.

123258314088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 123258314088 in words is "one hundred twenty-three billion, two hundred fifty-eight million, three hundred fourteen thousand, eighty-eight".