10142412211664 has 40 divisors (see below), whose sum is σ = 19751786102400. Its totient is φ = 5045182547328.

The previous prime is 10142412211661. The next prime is 10142412211721. The reversal of 10142412211664 is 46611221424101.

It is a super-2 number, since 2×10142412211664² (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 (10142412211661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30442109 + ... + 30773475.

It is an arithmetic number, because the mean of its divisors is an integer number (493794652560).

Almost surely, 2^{10142412211664} is an apocalyptic number.

It is an amenable number.

10142412211664 is a deficient number, since it is larger than the sum of its proper divisors (9609373890736).

10142412211664 is a wasteful number, since it uses less digits than its factorization.

10142412211664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341187 (or 341181 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

Adding to 10142412211664 its reverse (46611221424101), we get a palindrome (56753633635765).

The spelling of 10142412211664 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, two hundred eleven thousand, six hundred sixty-four".