961459248384 has 360 divisors, whose sum is σ = 3115174388480. Its totient is φ = 293820825600.

The previous prime is 961459248383. The next prime is 961459248389. The reversal of 961459248384 is 483842954169.

961459248384 is a `hidden beast` number, since 9 + 6 + 1 + 4 + 5 + 9 + 248 + 384 = 666.

It is a super-2 number, since 2×961459248384² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961459248383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12174144 + ... + 12252864.

Almost surely, 2^961459248384 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 961459248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557587194240).

961459248384 is an abundant number, since it is smaller than the sum of its proper divisors (2153715140096).

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

961459248384 is a wasteful number, since it uses less digits than its factorization.

961459248384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78799 (or 78776 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 961459248384 in words is "nine hundred sixty-one billion, four hundred fifty-nine million, two hundred forty-eight thousand, three hundred eighty-four".