123982733952 has 384 divisors, whose sum is σ = 460155945600. Its totient is φ = 31092203520.

The previous prime is 123982733891. The next prime is 123982733977. The reversal of 123982733952 is 259337289321.

123982733952 is a `hidden beast` number, since 1 + 239 + 8 + 27 + 339 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2548318 + ... + 2596514.

It is an arithmetic number, because the mean of its divisors is an integer number (1198322775).

Almost surely, 2^123982733952 is an apocalyptic number.

123982733952 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 123982733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230077972800).

123982733952 is an abundant number, since it is smaller than the sum of its proper divisors (336173211648).

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

123982733952 is a wasteful number, since it uses less digits than its factorization.

123982733952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48264 (or 48249 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 123982733952 in words is "one hundred twenty-three billion, nine hundred eighty-two million, seven hundred thirty-three thousand, nine hundred fifty-two".