123998418432 has 800 divisors, whose sum is σ = 451560384000. Its totient is φ = 33798352896.

The previous prime is 123998418391. The next prime is 123998418433. The reversal of 123998418432 is 234814899321.

123998418432 is a `hidden beast` number, since 123 + 9 + 9 + 84 + 1 + 8 + 432 = 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 not an unprimeable number, because it can be changed into a prime (123998418433) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 327172419 + ... + 327172797.

It is an arithmetic number, because the mean of its divisors is an integer number (564450480).

Almost surely, 2^123998418432 is an apocalyptic number.

123998418432 is a gapful number since it is divisible by the number (12) 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 123998418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225780192000).

123998418432 is an abundant number, since it is smaller than the sum of its proper divisors (327561965568).

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

123998418432 is an frugal number, since it uses more digits than its factorization.

123998418432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 414 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 123998418432 in words is "one hundred twenty-three billion, nine hundred ninety-eight million, four hundred eighteen thousand, four hundred thirty-two".