261348159744 has 288 divisors, whose sum is σ = 884248135680. Its totient is φ = 74587392000.

The previous prime is 261348159713. The next prime is 261348159767. The reversal of 261348159744 is 447951843162.

261348159744 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 4 + 8 + 1 + 597 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52784469 + ... + 52789419.

Almost surely, 2^261348159744 is an apocalyptic number.

261348159744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261348159744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442124067840).

261348159744 is an abundant number, since it is smaller than the sum of its proper divisors (622899975936).

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

261348159744 is a wasteful number, since it uses less digits than its factorization.

261348159744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074 (or 6054 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

It can be divided in two parts, 2613481 and 59744, that added together give a square (2673225 = 1635²).

The spelling of 261348159744 in words is "two hundred sixty-one billion, three hundred forty-eight million, one hundred fifty-nine thousand, seven hundred forty-four".