972256843008 has 1152 divisors, whose sum is σ = 3394141470720. Its totient is φ = 271724544000.

The previous prime is 972256843007. The next prime is 972256843009. The reversal of 972256843008 is 800348652279.

972256843008 is a `hidden beast` number, since 9 + 7 + 2 + 256 + 84 + 300 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (972256843007) and next prime (972256843009).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972256843007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5371584678 + ... + 5371584858.

It is an arithmetic number, because the mean of its divisors is an integer number (2946303360).

Almost surely, 2^972256843008 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 972256843008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697070735360).

972256843008 is an abundant number, since it is smaller than the sum of its proper divisors (2421884627712).

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

972256843008 is a wasteful number, since it uses less digits than its factorization.

972256843008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 972256843008 in words is "nine hundred seventy-two billion, two hundred fifty-six million, eight hundred forty-three thousand, eight".