125223791616 has 660 divisors, whose sum is σ = 474708978216. Its totient is φ = 32514048000.

The previous prime is 125223791573. The next prime is 125223791657. The reversal of 125223791616 is 616197322521.

125223791616 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 23 + 7 + 9 + 1 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44705416 + ... + 44708216.

Almost surely, 2^125223791616 is an apocalyptic number.

125223791616 is a gapful number since it is divisible by the number (16) 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 125223791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237354489108).

125223791616 is an abundant number, since it is smaller than the sum of its proper divisors (349485186600).

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

125223791616 is a wasteful number, since it uses less digits than its factorization.

125223791616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2824 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 125223791616 in words is "one hundred twenty-five billion, two hundred twenty-three million, seven hundred ninety-one thousand, six hundred sixteen".