19145864067117 has 32 divisors (see below), whose sum is σ = 25643808368640. Its totient is φ = 12706079608320.

The previous prime is 19145864067107. The next prime is 19145864067131. The reversal of 19145864067117 is 71176046854191.

It is a happy number.

It is not a de Polignac number, because 19145864067117 - 2⁴ = 19145864067101 is a prime.

It is a super-2 number, since 2×19145864067117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19145864067107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164086388 + ... + 1164102834.

It is an arithmetic number, because the mean of its divisors is an integer number (801369011520).

Almost surely, 2^{19145864067117} is an apocalyptic number.

It is an amenable number.

19145864067117 is a deficient number, since it is larger than the sum of its proper divisors (6497944301523).

19145864067117 is a wasteful number, since it uses less digits than its factorization.

19145864067117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18853.

The product of its (nonzero) digits is 10160640, while the sum is 60.

The spelling of 19145864067117 in words is "nineteen trillion, one hundred forty-five billion, eight hundred sixty-four million, sixty-seven thousand, one hundred seventeen".