123894461250 has 280 divisors, whose sum is σ = 397943217408. Its totient is φ = 28317276000.

The previous prime is 123894461237. The next prime is 123894461269. The reversal of 123894461250 is 52164498321.

123894461250 is a `hidden beast` number, since 1 + 2 + 3 + 89 + 446 + 125 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 123894461196 and 123894461205.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 6369039 + ... + 6388461.

Almost surely, 2^123894461250 is an apocalyptic number.

123894461250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123894461250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198971608704).

123894461250 is an abundant number, since it is smaller than the sum of its proper divisors (274048756158).

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

123894461250 is an frugal number, since it uses more digits than its factorization.

123894461250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19470 (or 19440 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 123894461250 in words is "one hundred twenty-three billion, eight hundred ninety-four million, four hundred sixty-one thousand, two hundred fifty".