10145051563401 has 48 divisors (see below), whose sum is σ = 15171425755200. Its totient is φ = 6528325579776.

The previous prime is 10145051563379. The next prime is 10145051563403. The reversal of 10145051563401 is 10436515054101.

10145051563401 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 5 + 15 + 634 + 0 + 1 = 666.

It is not a de Polignac number, because 10145051563401 - 2⁵ = 10145051563369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10145051563403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64433110 + ... + 64590368.

It is an arithmetic number, because the mean of its divisors is an integer number (316071369900).

Almost surely, 2^{10145051563401} is an apocalyptic number.

It is an amenable number.

10145051563401 is a deficient number, since it is larger than the sum of its proper divisors (5026374191799).

10145051563401 is a wasteful number, since it uses less digits than its factorization.

10145051563401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159270 (or 159267 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10145051563401 in words is "ten trillion, one hundred forty-five billion, fifty-one million, five hundred sixty-three thousand, four hundred one".