10638248142 has 32 divisors (see below), whose sum is σ = 21529994400. Its totient is φ = 3503886848.

The previous prime is 10638248123. The next prime is 10638248149. The reversal of 10638248142 is 24184283601.

10638248142 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 2×10638248142² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10638248142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638248149) by changing a digit.

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, 906778 + ... + 918434.

It is an arithmetic number, because the mean of its divisors is an integer number (672812325).

Almost surely, 2^10638248142 is an apocalyptic number.

10638248142 is an abundant number, since it is smaller than the sum of its proper divisors (10891746258).

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

10638248142 is a wasteful number, since it uses less digits than its factorization.

10638248142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13460.

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 10638248142 in words is "ten billion, six hundred thirty-eight million, two hundred forty-eight thousand, one hundred forty-two".