123806454984960 has 576 divisors, whose sum is σ = 433838236688640. Its totient is φ = 29840942039040.

The previous prime is 123806454984943. The next prime is 123806454984973. The reversal of 123806454984960 is 69489454608321.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19378061446 + ... + 19378067834.

It is an arithmetic number, because the mean of its divisors is an integer number (753191383140).

Almost surely, 2^{123806454984960} is an apocalyptic number.

123806454984960 is a gapful number since it is divisible by the number (10) 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 123806454984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216919118344320).

123806454984960 is an abundant number, since it is smaller than the sum of its proper divisors (310031781703680).

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

123806454984960 is a wasteful number, since it uses less digits than its factorization.

123806454984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 69.

The spelling of 123806454984960 in words is "one hundred twenty-three trillion, eight hundred six billion, four hundred fifty-four million, nine hundred eighty-four thousand, nine hundred sixty".