10461903563007 has 160 divisors (see below), whose sum is σ = 17957670635520. Its totient is φ = 6024339360000.

The previous prime is 10461903563003. The next prime is 10461903563021. The reversal of 10461903563007 is 70036530916401.

It is a happy number.

10461903563007 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 9 + 0 + 3 + 5 + 630 + 0 + 7 = 666.

It is not a de Polignac number, because 10461903563007 - 2² = 10461903563003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10461903563003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117437632 + ... + 117526682.

It is an arithmetic number, because the mean of its divisors is an integer number (112235441472).

Almost surely, 2^{10461903563007} is an apocalyptic number.

10461903563007 is a deficient number, since it is larger than the sum of its proper divisors (7495767072513).

10461903563007 is a wasteful number, since it uses less digits than its factorization.

10461903563007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89227 (or 89218 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 10461903563007 in words is "ten trillion, four hundred sixty-one billion, nine hundred three million, five hundred sixty-three thousand, seven".