961912314720 has 576 divisors, whose sum is σ = 3787632576000. Its totient is φ = 217753878528.

The previous prime is 961912314709. The next prime is 961912314731. The reversal of 961912314720 is 27413219169.

961912314720 is a `hidden beast` number, since 9 + 61 + 91 + 2 + 31 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (961912314709) and next prime (961912314731).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1035427216 + ... + 1035428144.

It is an arithmetic number, because the mean of its divisors is an integer number (6575751000).

Almost surely, 2^961912314720 is an apocalyptic number.

961912314720 is a gapful number since it is divisible by the number (90) 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 961912314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893816288000).

961912314720 is an abundant number, since it is smaller than the sum of its proper divisors (2825720261280).

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

961912314720 is a wasteful number, since it uses less digits than its factorization.

961912314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 961912314720 in words is "nine hundred sixty-one billion, nine hundred twelve million, three hundred fourteen thousand, seven hundred twenty".