123338741492736 has 2640 divisors, whose sum is σ = 513616127735040. Its totient is φ = 28556517703680.

The previous prime is 123338741492731. The next prime is 123338741492737. The reversal of 123338741492736 is 637294147833321.

123338741492736 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 3 + 8 + 74 + 1 + 492 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (123338741492731) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35069302050 + ... + 35069305566.

It is an arithmetic number, because the mean of its divisors is an integer number (194551563536).

Almost surely, 2^{123338741492736} is an apocalyptic number.

123338741492736 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 123338741492736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256808063867520).

123338741492736 is an abundant number, since it is smaller than the sum of its proper divisors (390277386242304).

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

123338741492736 is a wasteful number, since it uses less digits than its factorization.

123338741492736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3576 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 123338741492736 in words is "one hundred twenty-three trillion, three hundred thirty-eight billion, seven hundred forty-one million, four hundred ninety-two thousand, seven hundred thirty-six".