125163033216 has 384 divisors, whose sum is σ = 383832691200. Its totient is φ = 36015722496.

The previous prime is 125163033209. The next prime is 125163033221. The reversal of 125163033216 is 612330361521.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 102340381 + ... + 102341603.

It is an arithmetic number, because the mean of its divisors is an integer number (999564300).

Almost surely, 2^125163033216 is an apocalyptic number.

125163033216 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 125163033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191916345600).

125163033216 is an abundant number, since it is smaller than the sum of its proper divisors (258669657984).

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

125163033216 is a wasteful number, since it uses less digits than its factorization.

125163033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 125163033216 its reverse (612330361521), we get a palindrome (737493394737).

The spelling of 125163033216 in words is "one hundred twenty-five billion, one hundred sixty-three million, thirty-three thousand, two hundred sixteen".