10142072468 has 48 divisors (see below), whose sum is σ = 20173805568. Its totient is φ = 4419564000.

The previous prime is 10142072441. The next prime is 10142072471. The reversal of 10142072468 is 86427024101.

10142072468 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 2×10142072468² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111203 + ... + 180693.

It is an arithmetic number, because the mean of its divisors is an integer number (420287616).

Almost surely, 2^10142072468 is an apocalyptic number.

It is an amenable number.

10142072468 is a deficient number, since it is larger than the sum of its proper divisors (10031733100).

10142072468 is a wasteful number, since it uses less digits than its factorization.

10142072468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69644 (or 69642 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

Adding to 10142072468 its reverse (86427024101), we get a palindrome (96569096569).

The spelling of 10142072468 in words is "ten billion, one hundred forty-two million, seventy-two thousand, four hundred sixty-eight".