10144736217 has 60 divisors (see below), whose sum is σ = 19231374096. Its totient is φ = 5269970160.

The previous prime is 10144736209. The next prime is 10144736219. The reversal of 10144736217 is 71263744101.

10144736217 is a `hidden beast` number, since 10 + 14 + 4 + 7 + 3 + 621 + 7 = 666.

It is not a de Polignac number, because 10144736217 - 2³ = 10144736209 is a prime.

It is a super-2 number, since 2×10144736217² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10144736219) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 72523 + ... + 159840.

Almost surely, 2^10144736217 is an apocalyptic number.

It is an amenable number.

10144736217 is a deficient number, since it is larger than the sum of its proper divisors (9086637879).

10144736217 is a wasteful number, since it uses less digits than its factorization.

10144736217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232400 (or 232384 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10144736217 in words is "ten billion, one hundred forty-four million, seven hundred thirty-six thousand, two hundred seventeen".