961298841888 has 864 divisors, whose sum is σ = 3559350936960. Its totient is φ = 245302041600.

The previous prime is 961298841871. The next prime is 961298841901. The reversal of 961298841888 is 888148892169.

961298841888 is a `hidden beast` number, since 9 + 6 + 129 + 8 + 8 + 418 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1145766973 + ... + 1145767811.

It is an arithmetic number, because the mean of its divisors is an integer number (4119619140).

Almost surely, 2^961298841888 is an apocalyptic number.

961298841888 is a gapful number since it is divisible by the number (98) 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 961298841888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779675468480).

961298841888 is an abundant number, since it is smaller than the sum of its proper divisors (2598052095072).

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

961298841888 is a wasteful number, since it uses less digits than its factorization.

961298841888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 923 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 72.

The spelling of 961298841888 in words is "nine hundred sixty-one billion, two hundred ninety-eight million, eight hundred forty-one thousand, eight hundred eighty-eight".