261463082328 has 240 divisors, whose sum is σ = 852845776200. Its totient is φ = 74621191680.

The previous prime is 261463082317. The next prime is 261463082329. The reversal of 261463082328 is 823280364162.

261463082328 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 630 + 8 + 2 + 3 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261463082329) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32351248 + ... + 32359328.

Almost surely, 2^261463082328 is an apocalyptic number.

261463082328 is a gapful number since it is divisible by the number (28) 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 261463082328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426422888100).

261463082328 is an abundant number, since it is smaller than the sum of its proper divisors (591382693872).

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

261463082328 is a wasteful number, since it uses less digits than its factorization.

261463082328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9132 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 261463082328 in words is "two hundred sixty-one billion, four hundred sixty-three million, eighty-two thousand, three hundred twenty-eight".