10187046690144 has 24 divisors (see below), whose sum is σ = 26740997561880. Its totient is φ = 3395682230016.

The previous prime is 10187046690083. The next prime is 10187046690151. The reversal of 10187046690144 is 44109664078101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53057534749 + ... + 53057534940.

It is an arithmetic number, because the mean of its divisors is an integer number (1114208231745).

Almost surely, 2^{10187046690144} is an apocalyptic number.

It is an amenable number.

10187046690144 is an abundant number, since it is smaller than the sum of its proper divisors (16553950871736).

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

10187046690144 is a wasteful number, since it uses less digits than its factorization.

10187046690144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106115069702 (or 106115069694 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 10187046690144 in words is "ten trillion, one hundred eighty-seven billion, forty-six million, six hundred ninety thousand, one hundred forty-four".