9961207914432 has 224 divisors, whose sum is σ = 27110751528960. Its totient is φ = 3226764835840.

The previous prime is 9961207914403. The next prime is 9961207914479. The reversal of 9961207914432 is 2344197021699.

It is a happy number.

It is a super-2 number, since 2×9961207914432² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390270823 + ... + 390296345.

Almost surely, 2^{9961207914432} 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 9961207914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13555375764480).

9961207914432 is an abundant number, since it is smaller than the sum of its proper divisors (17149543614528).

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

9961207914432 is a wasteful number, since it uses less digits than its factorization.

9961207914432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25991 (or 25981 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 9961207914432 in words is "nine trillion, nine hundred sixty-one billion, two hundred seven million, nine hundred fourteen thousand, four hundred thirty-two".