123813494784 has 760 divisors, whose sum is σ = 456758834400. Its totient is φ = 33294385152.

The previous prime is 123813494773. The next prime is 123813494873. The reversal of 123813494784 is 487494318321.

123813494784 is a `hidden beast` number, since 1 + 2 + 3 + 81 + 3 + 494 + 78 + 4 = 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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 123813494784.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 7283146744 + ... + 7283146760.

Almost surely, 2^123813494784 is an apocalyptic number.

123813494784 is a gapful number since it is divisible by the number (14) 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 123813494784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228379417200).

123813494784 is an abundant number, since it is smaller than the sum of its proper divisors (332945339616).

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

123813494784 is an frugal number, since it uses more digits than its factorization.

123813494784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 29 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 123813494784 in words is "one hundred twenty-three billion, eight hundred thirteen million, four hundred ninety-four thousand, seven hundred eighty-four".