10504146465 has 24 divisors (see below), whose sum is σ = 18212312040. Its totient is φ = 5600634624.

The previous prime is 10504146449. The next prime is 10504146467. The reversal of 10504146465 is 56464140501.

10504146465 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 4 + 1 + 4 + 646 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2166995601 + 8337150864 = 46551^2 + 91308^2 .

It is not a de Polignac number, because 10504146465 - 2⁴ = 10504146449 is a prime.

It is a super-2 number, since 2×10504146465² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10504146467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138639 + ... + 200571.

It is an arithmetic number, because the mean of its divisors is an integer number (758846335).

Almost surely, 2^10504146465 is an apocalyptic number.

10504146465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10504146465 is a deficient number, since it is larger than the sum of its proper divisors (7708165575).

10504146465 is a wasteful number, since it uses less digits than its factorization.

10504146465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65713 (or 65710 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10504146465 its reverse (56464140501), we get a palindrome (66968286966).

The spelling of 10504146465 in words is "ten billion, five hundred four million, one hundred forty-six thousand, four hundred sixty-five".