261434718116 has 24 divisors (see below), whose sum is σ = 537495155904. Its totient is φ = 109692888480.

The previous prime is 261434718073. The next prime is 261434718119. The reversal of 261434718116 is 611817434162.

It is a super-2 number, since 2×261434718116² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (261434718119) 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 7 ways as a sum of consecutive naturals, for example, 228526280 + ... + 228527423.

It is an arithmetic number, because the mean of its divisors is an integer number (22395631496).

Almost surely, 2^261434718116 is an apocalyptic number.

261434718116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

261434718116 is an abundant number, since it is smaller than the sum of its proper divisors (276060437788).

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

261434718116 is a wasteful number, since it uses less digits than its factorization.

261434718116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457053731 (or 457053729 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The spelling of 261434718116 in words is "two hundred sixty-one billion, four hundred thirty-four million, seven hundred eighteen thousand, one hundred sixteen".