123925046784 has 640 divisors, whose sum is σ = 425248496640. Its totient is φ = 31142707200.

The previous prime is 123925046779. The next prime is 123925046789. The reversal of 123925046784 is 487640529321.

It is an interprime number because it is at equal distance from previous prime (123925046779) and next prime (123925046789).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123925046789) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 642098592 + ... + 642098784.

It is an arithmetic number, because the mean of its divisors is an integer number (664450776).

It is a 1-persistent number, because it is pandigital, but 2⋅123925046784 = 247850093568 is not.

Almost surely, 2^123925046784 is an apocalyptic number.

123925046784 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 123925046784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212624248320).

123925046784 is an abundant number, since it is smaller than the sum of its proper divisors (301323449856).

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

123925046784 is a wasteful number, since it uses less digits than its factorization.

123925046784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 123925046784 in words is "one hundred twenty-three billion, nine hundred twenty-five million, forty-six thousand, seven hundred eighty-four".