123988736313432 has 192 divisors, whose sum is σ = 359809974451200. Its totient is φ = 39958931041920.

The previous prime is 123988736313313. The next prime is 123988736313433. The reversal of 123988736313432 is 234313637889321.

It is a happy number.

123988736313432 is a `hidden beast` number, since 1 + 2 + 3 + 98 + 87 + 3 + 6 + 31 + 3 + 432 = 666.

It is a super-2 number, since 2×123988736313432² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123988736313432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123988736313433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63459903 + ... + 65384529.

It is an arithmetic number, because the mean of its divisors is an integer number (1874010283600).

Almost surely, 2^{123988736313432} is an apocalyptic number.

123988736313432 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 123988736313432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179904987225600).

123988736313432 is an abundant number, since it is smaller than the sum of its proper divisors (235821238137768).

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

123988736313432 is a wasteful number, since it uses less digits than its factorization.

123988736313432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925748 (or 1925732 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 123988736313432 in words is "one hundred twenty-three trillion, nine hundred eighty-eight billion, seven hundred thirty-six million, three hundred thirteen thousand, four hundred thirty-two".