261472693248 has 528 divisors, whose sum is σ = 862828186080. Its totient is φ = 77755023360.

The previous prime is 261472693213. The next prime is 261472693249. The reversal of 261472693248 is 842396274162.

It is a happy number.

261472693248 is a `hidden beast` number, since 2 + 61 + 472 + 6 + 93 + 24 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 261472693194 and 261472693203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261472693249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345406086 + ... + 345406842.

Almost surely, 2^261472693248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261472693248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431414093040).

261472693248 is an abundant number, since it is smaller than the sum of its proper divisors (601355492832).

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

261472693248 is a wasteful number, since it uses less digits than its factorization.

261472693248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 806 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 261472693248 in words is "two hundred sixty-one billion, four hundred seventy-two million, six hundred ninety-three thousand, two hundred forty-eight".