961138483200 has 2016 divisors, whose sum is σ = 4259307386880. Its totient is φ = 210213273600.

The previous prime is 961138483199. The next prime is 961138483211. The reversal of 961138483200 is 2384831169.

961138483200 is a `hidden beast` number, since 9 + 61 + 1 + 384 + 8 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10799308756 + ... + 10799308844.

It is an arithmetic number, because the mean of its divisors is an integer number (2112751680).

Almost surely, 2^961138483200 is an apocalyptic number.

961138483200 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 961138483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129653693440).

961138483200 is an abundant number, since it is smaller than the sum of its proper divisors (3298168903680).

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

961138483200 is an equidigital number, since it uses as much as digits as its factorization.

961138483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 961138483200 in words is "nine hundred sixty-one billion, one hundred thirty-eight million, four hundred eighty-three thousand, two hundred".