123505827984 has 960 divisors, whose sum is σ = 481340620800. Its totient is φ = 28580428800.

The previous prime is 123505827971. The next prime is 123505828009. The reversal of 123505827984 is 489728505321.

123505827984 is a `hidden beast` number, since 1 + 2 + 3 + 50 + 582 + 7 + 9 + 8 + 4 = 666.

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 a self number, because there is not a number n which added to its sum of digits gives 123505827984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 344027197 + ... + 344027555.

It is an arithmetic number, because the mean of its divisors is an integer number (501396480).

Almost surely, 2^123505827984 is an apocalyptic number.

123505827984 is a gapful number since it is divisible by the number (14) 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 123505827984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240670310400).

123505827984 is an abundant number, since it is smaller than the sum of its proper divisors (357834792816).

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

123505827984 is a wasteful number, since it uses less digits than its factorization.

123505827984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 123505827984 in words is "one hundred twenty-three billion, five hundred five million, eight hundred twenty-seven thousand, nine hundred eighty-four".