123905734385664 has 224 divisors, whose sum is σ = 411921200779776. Its totient is φ = 32183307141120.

The previous prime is 123905734385611. The next prime is 123905734385687. The reversal of 123905734385664 is 466583437509321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 123905734385595 and 123905734385604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30846202 + ... + 34630905.

It is a 1-persistent number, because it is pandigital, but 2⋅123905734385664 = 247811468771328 is not.

Almost surely, 2^{123905734385664} is an apocalyptic number.

123905734385664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123905734385664 is an abundant number, since it is smaller than the sum of its proper divisors (288015466394112).

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

123905734385664 is an equidigital number, since it uses as much as digits as its factorization.

123905734385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65477154 (or 65477130 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 66.

The spelling of 123905734385664 in words is "one hundred twenty-three trillion, nine hundred five billion, seven hundred thirty-four million, three hundred eighty-five thousand, six hundred sixty-four".