123891534984 has 384 divisors, whose sum is σ = 397439136000. Its totient is φ = 31379668992.

The previous prime is 123891534959. The next prime is 123891534989. The reversal of 123891534984 is 489435198321.

123891534984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123891534984² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123891534989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153141172 + ... + 153141980.

It is an arithmetic number, because the mean of its divisors is an integer number (1034997750).

Almost surely, 2^123891534984 is an apocalyptic number.

123891534984 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 123891534984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198719568000).

123891534984 is an abundant number, since it is smaller than the sum of its proper divisors (273547601016).

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

123891534984 is a wasteful number, since it uses less digits than its factorization.

123891534984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 910 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The spelling of 123891534984 in words is "one hundred twenty-three billion, eight hundred ninety-one million, five hundred thirty-four thousand, nine hundred eighty-four".