10142645500044 has 36 divisors (see below), whose sum is σ = 25641513241344. Its totient is φ = 3380465217312.

The previous prime is 10142645500033. The next prime is 10142645500093. The reversal of 10142645500044 is 44000554624101.

10142645500044 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 64 + 550 + 0 + 0 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10142645499981 and 10142645500008.

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 11 ways as a sum of consecutive naturals, for example, 17062732 + ... + 17647155.

It is an arithmetic number, because the mean of its divisors is an integer number (712264256704).

Almost surely, 2^{10142645500044} is an apocalyptic number.

It is an amenable number.

10142645500044 is an abundant number, since it is smaller than the sum of its proper divisors (15498867741300).

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

10142645500044 is a wasteful number, since it uses less digits than its factorization.

10142645500044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34718014 (or 34718009 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 10142645500044 in words is "ten trillion, one hundred forty-two billion, six hundred forty-five million, five hundred thousand, forty-four".