261446101644162 has 32 divisors (see below), whose sum is σ = 522954393033600. Its totient is φ = 87138336267648.

The previous prime is 261446101644149. The next prime is 261446101644187.

261446101644162 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×261446101644162³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1970004264 + ... + 1970136972.

It is an arithmetic number, because the mean of its divisors is an integer number (16342324782300).

Almost surely, 2^{261446101644162} is an apocalyptic number.

261446101644162 is an abundant number, since it is smaller than the sum of its proper divisors (261508291389438).

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

261446101644162 is a wasteful number, since it uses less digits than its factorization.

261446101644162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169290.

The product of its (nonzero) digits is 1327104, while the sum is 48.

It can be divided in two parts, 26144610 and 1644162, that added together give a palindrome (27788772).

The spelling of 261446101644162 in words is "two hundred sixty-one trillion, four hundred forty-six billion, one hundred one million, six hundred forty-four thousand, one hundred sixty-two".