261553314341144 has 96 divisors (see below), whose sum is σ = 593519252520960. Its totient is φ = 107624172398400.

The previous prime is 261553314341071. The next prime is 261553314341149. The reversal of 261553314341144 is 441143413355162.

It is a super-2 number, since 2×261553314341144² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261553314341149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83194802 + ... + 86281409.

It is an arithmetic number, because the mean of its divisors is an integer number (6182492213760).

Almost surely, 2^{261553314341144} is an apocalyptic number.

It is an amenable number.

261553314341144 is an abundant number, since it is smaller than the sum of its proper divisors (331965938179816).

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

261553314341144 is a wasteful number, since it uses less digits than its factorization.

261553314341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169476389 (or 169476378 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 47.

The spelling of 261553314341144 in words is "two hundred sixty-one trillion, five hundred fifty-three billion, three hundred fourteen million, three hundred forty-one thousand, one hundred forty-four".