10165146546261 has 32 divisors (see below), whose sum is σ = 15592059904000. Its totient is φ = 5770321187904.

The previous prime is 10165146546253. The next prime is 10165146546277. The reversal of 10165146546261 is 16264564156101.

It is not a de Polignac number, because 10165146546261 - 2³ = 10165146546253 is a prime.

It is a super-2 number, since 2×10165146546261² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10165146546261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165146546461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6642615 + ... + 8028363.

It is an arithmetic number, because the mean of its divisors is an integer number (487251872000).

Almost surely, 2^{10165146546261} is an apocalyptic number.

It is an amenable number.

10165146546261 is a deficient number, since it is larger than the sum of its proper divisors (5426913357739).

10165146546261 is a wasteful number, since it uses less digits than its factorization.

10165146546261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388065.

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 10165146546261 in words is "ten trillion, one hundred sixty-five billion, one hundred forty-six million, five hundred forty-six thousand, two hundred sixty-one".