973831248000 has 768 divisors, whose sum is σ = 3905987379840. Its totient is φ = 239699865600.

The previous prime is 973831247927. The next prime is 973831248109. The reversal of 973831248000 is 842138379.

973831248000 is a `hidden beast` number, since 97 + 3 + 83 + 1 + 2 + 480 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50534367 + ... + 50553633.

Almost surely, 2^973831248000 is an apocalyptic number.

973831248000 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 973831248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952993689920).

973831248000 is an abundant number, since it is smaller than the sum of its proper divisors (2932156131840).

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

973831248000 is a wasteful number, since it uses less digits than its factorization.

973831248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19324 (or 19290 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 973831248000 in words is "nine hundred seventy-three billion, eight hundred thirty-one million, two hundred forty-eight thousand".