10142563214224 has 80 divisors (see below), whose sum is σ = 22515491995648. Its totient is φ = 4335795547776.

The previous prime is 10142563214209. The next prime is 10142563214239. The reversal of 10142563214224 is 42241236524101.

10142563214224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10142563214209) and next prime (10142563214239).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143450209 + ... + 143520895.

Almost surely, 2^{10142563214224} is an apocalyptic number.

10142563214224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10142563214224 is an abundant number, since it is smaller than the sum of its proper divisors (12372928781424).

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

10142563214224 is a wasteful number, since it uses less digits than its factorization.

10142563214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73932 (or 73926 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 10142563214224 its reverse (42241236524101), we get a palindrome (52383799738325).

The spelling of 10142563214224 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, two hundred fourteen thousand, two hundred twenty-four".