261431217145104 has 40 divisors (see below), whose sum is σ = 675380003062080. Its totient is φ = 87141671250048.

The previous prime is 261431217145103. The next prime is 261431217145159. The reversal of 261431217145104 is 401541712134162.

It is not an unprimeable number, because it can be changed into a prime (261431217145103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62574084 + ... + 66621155.

It is an arithmetic number, because the mean of its divisors is an integer number (16884500076552).

Almost surely, 2^{261431217145104} is an apocalyptic number.

261431217145104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261431217145104 is an abundant number, since it is smaller than the sum of its proper divisors (413948785916976).

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

261431217145104 is a wasteful number, since it uses less digits than its factorization.

261431217145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129237407 (or 129237401 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

Adding to 261431217145104 its reverse (401541712134162), we get a palindrome (662972929279266).

The spelling of 261431217145104 in words is "two hundred sixty-one trillion, four hundred thirty-one billion, two hundred seventeen million, one hundred forty-five thousand, one hundred four".