965562444000 has 3456 divisors, whose sum is σ = 4795994810880. Its totient is φ = 188116992000.

The previous prime is 965562443999. The next prime is 965562444029. The reversal of 965562444000 is 444265569.

965562444000 is a `hidden beast` number, since 9 + 6 + 5 + 562 + 44 + 40 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9954251952 + ... + 9954252048.

It is an arithmetic number, because the mean of its divisors is an integer number (1387729980).

Almost surely, 2^965562444000 is an apocalyptic number.

965562444000 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 965562444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397997405440).

965562444000 is an abundant number, since it is smaller than the sum of its proper divisors (3830432366880).

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

965562444000 is a wasteful number, since it uses less digits than its factorization.

965562444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 965562444000 in words is "nine hundred sixty-five billion, five hundred sixty-two million, four hundred forty-four thousand".