123549438016 has 63 divisors (see below), whose sum is σ = 250183303671. Its totient is φ = 60536047104.

The previous prime is 123549438013. The next prime is 123549438029. The reversal of 123549438016 is 610834945321.

It is a happy number.

The square root of 123549438016 is 351496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11126030400 + 112423407616 = 105480^2 + 335296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123549438013) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149033890 + ... + 149034718.

Almost surely, 2^123549438016 is an apocalyptic number.

123549438016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123549438016 is the 351496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123549438016

123549438016 is an abundant number, since it is smaller than the sum of its proper divisors (126633865655).

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

123549438016 is an frugal number, since it uses more digits than its factorization.

123549438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 123549438016 in words is "one hundred twenty-three billion, five hundred forty-nine million, four hundred thirty-eight thousand, sixteen".