123732534016 has 288 divisors, whose sum is σ = 328172866560. Its totient is φ = 45200719872.

The previous prime is 123732534011. The next prime is 123732534041. The reversal of 123732534016 is 610435237321.

It is not an unprimeable number, because it can be changed into a prime (123732534011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15534451 + ... + 15542413.

It is an arithmetic number, because the mean of its divisors is an integer number (1139489120).

Almost surely, 2^123732534016 is an apocalyptic number.

123732534016 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 123732534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164086433280).

123732534016 is an abundant number, since it is smaller than the sum of its proper divisors (204440332544).

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

123732534016 is a wasteful number, since it uses less digits than its factorization.

123732534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8051 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 123732534016 in words is "one hundred twenty-three billion, seven hundred thirty-two million, five hundred thirty-four thousand, sixteen".