10206245125464 has 128 divisors (see below), whose sum is σ = 25882945079040. Its totient is φ = 3353400410112.

The previous prime is 10206245125381. The next prime is 10206245125469. The reversal of 10206245125464 is 46452154260201.

10206245125464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10206245125464² (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 (10206245125469) 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, 2382964267 + ... + 2382968549.

It is an arithmetic number, because the mean of its divisors is an integer number (202210508430).

Almost surely, 2^{10206245125464} is an apocalyptic number.

It is an amenable number.

10206245125464 is an abundant number, since it is smaller than the sum of its proper divisors (15676699953576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10206245125464 is a wasteful number, since it uses less digits than its factorization.

10206245125464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8289 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 10206245125464 its reverse (46452154260201), we get a palindrome (56658399385665).

The spelling of 10206245125464 in words is "ten trillion, two hundred six billion, two hundred forty-five million, one hundred twenty-five thousand, four hundred sixty-four".