10164472513623 has 40 divisors (see below), whose sum is σ = 15237158200880. Its totient is φ = 6752586798720.

The previous prime is 10164472513579. The next prime is 10164472513631. The reversal of 10164472513623 is 32631527446101.

10164472513623 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 4 + 4 + 7 + 2 + 5 + 13 + 623 = 666.

It is not a de Polignac number, because 10164472513623 - 2¹⁶ = 10164472448087 is a prime.

It is a super-2 number, since 2×10164472513623² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164472513693) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105910323 + ... + 106006251.

It is an arithmetic number, because the mean of its divisors is an integer number (380928955022).

Almost surely, 2^{10164472513623} is an apocalyptic number.

10164472513623 is a deficient number, since it is larger than the sum of its proper divisors (5072685687257).

10164472513623 is an equidigital number, since it uses as much as digits as its factorization.

10164472513623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100509 (or 100500 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 10164472513623 its reverse (32631527446101), we get a palindrome (42795999959724).

The spelling of 10164472513623 in words is "ten trillion, one hundred sixty-four billion, four hundred seventy-two million, five hundred thirteen thousand, six hundred twenty-three".