10004222112864 has 96 divisors (see below), whose sum is σ = 30231737174016. Its totient is φ = 2837485286400.

The previous prime is 10004222112853. The next prime is 10004222112869. The reversal of 10004222112864 is 46821122240001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004222112869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54240912 + ... + 54425039.

It is an arithmetic number, because the mean of its divisors is an integer number (314913928896).

Almost surely, 2^{10004222112864} is an apocalyptic number.

10004222112864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10004222112864 is an abundant number, since it is smaller than the sum of its proper divisors (20227515061152).

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

10004222112864 is a wasteful number, since it uses less digits than its factorization.

10004222112864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108666108 (or 108666100 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 10004222112864 its reverse (46821122240001), we get a palindrome (56825344352865).

The spelling of 10004222112864 in words is "ten trillion, four billion, two hundred twenty-two million, one hundred twelve thousand, eight hundred sixty-four".