123757632416 has 96 divisors (see below), whose sum is σ = 267459288768. Its totient is φ = 55902781440.

The previous prime is 123757632377. The next prime is 123757632433. The reversal of 123757632416 is 614236757321.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58568576 + ... + 58570688.

It is an arithmetic number, because the mean of its divisors is an integer number (2786034258).

Almost surely, 2^123757632416 is an apocalyptic number.

123757632416 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 123757632416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133729644384).

123757632416 is an abundant number, since it is smaller than the sum of its proper divisors (143701656352).

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

123757632416 is a wasteful number, since it uses less digits than its factorization.

123757632416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3086 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 47.

The spelling of 123757632416 in words is "one hundred twenty-three billion, seven hundred fifty-seven million, six hundred thirty-two thousand, four hundred sixteen".