10225116734991 has 8 divisors (see below), whose sum is σ = 13634066202240. Its totient is φ = 6816455878872.

The previous prime is 10225116734971. The next prime is 10225116734993. The reversal of 10225116734991 is 19943761152201.

10225116734991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10225116734991 - 2²¹ = 10225114637839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225116734993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72070101 + ... + 72211838.

It is an arithmetic number, because the mean of its divisors is an integer number (1704258275280).

Almost surely, 2^{10225116734991} is an apocalyptic number.

10225116734991 is a deficient number, since it is larger than the sum of its proper divisors (3408949467249).

10225116734991 is a wasteful number, since it uses less digits than its factorization.

10225116734991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144305565.

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 10225116734991 in words is "ten trillion, two hundred twenty-five billion, one hundred sixteen million, seven hundred thirty-four thousand, nine hundred ninety-one".