10251431451616 has 24 divisors (see below), whose sum is σ = 20199508698600. Its totient is φ = 5121397496448.

The previous prime is 10251431451601. The next prime is 10251431451617. The reversal of 10251431451616 is 61615413415201.

10251431451616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10251431451616² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10251431451617) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134906091 + ... + 134982058.

It is an arithmetic number, because the mean of its divisors is an integer number (841646195775).

Almost surely, 2^{10251431451616} is an apocalyptic number.

10251431451616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10251431451616 is a deficient number, since it is larger than the sum of its proper divisors (9948077246984).

10251431451616 is a wasteful number, since it uses less digits than its factorization.

10251431451616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269889346 (or 269889338 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

Adding to 10251431451616 its reverse (61615413415201), we get a palindrome (71866844866817).

The spelling of 10251431451616 in words is "ten trillion, two hundred fifty-one billion, four hundred thirty-one million, four hundred fifty-one thousand, six hundred sixteen".