964922112000 has 3072 divisors, whose sum is σ = 4660830720000. Its totient is φ = 195084288000.

The previous prime is 964922111957. The next prime is 964922112079. The reversal of 964922112000 is 211229469.

964922112000 is a `hidden beast` number, since 9 + 649 + 2 + 2 + 1 + 1 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 26078975982 + ... + 26078976018.

It is an arithmetic number, because the mean of its divisors is an integer number (1517197500).

Almost surely, 2^964922112000 is an apocalyptic number.

964922112000 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 964922112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330415360000).

964922112000 is an abundant number, since it is smaller than the sum of its proper divisors (3695908608000).

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

964922112000 is a wasteful number, since it uses less digits than its factorization.

964922112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 964922112000 in words is "nine hundred sixty-four billion, nine hundred twenty-two million, one hundred twelve thousand".