123459124002816 has 544 divisors, whose sum is σ = 381921281584128. Its totient is φ = 34746390282240.

The previous prime is 123459124002733. The next prime is 123459124002839. The reversal of 123459124002816 is 618200421954321.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27925608286 + ... + 27925612706.

Almost surely, 2^{123459124002816} is an apocalyptic number.

123459124002816 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 123459124002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190960640792064).

123459124002816 is an abundant number, since it is smaller than the sum of its proper divisors (258462157581312).

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

123459124002816 is an equidigital number, since it uses as much as digits as its factorization.

123459124002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 123459124002816 in words is "one hundred twenty-three trillion, four hundred fifty-nine billion, one hundred twenty-four million, two thousand, eight hundred sixteen".