123234413492736 has 4000 divisors, whose sum is σ = 495809689148928. Its totient is φ = 30234162954240.

The previous prime is 123234413492719. The next prime is 123234413492759. The reversal of 123234413492736 is 637294314432321.

123234413492736 is a `hidden beast` number, since 1 + 2 + 3 + 23 + 4 + 4 + 1 + 349 + 273 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1484751969751 + ... + 1484751969833.

Almost surely, 2^{123234413492736} is an apocalyptic number.

123234413492736 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 123234413492736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247904844574464).

123234413492736 is an abundant number, since it is smaller than the sum of its proper divisors (372575275656192).

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

123234413492736 is an frugal number, since it uses more digits than its factorization.

123234413492736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 176 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 54.

The spelling of 123234413492736 in words is "one hundred twenty-three trillion, two hundred thirty-four billion, four hundred thirteen million, four hundred ninety-two thousand, seven hundred thirty-six".