973916900000 has 216 divisors, whose sum is σ = 2634306823260. Its totient is φ = 354147200000.

The previous prime is 973916899993. The next prime is 973916900069. The reversal of 973916900000 is 9619379.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1034522896 + 972882377104 = 32164^2 + 986348^2 .

It is a super-2 number, since 2×973916900000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 35 ways as a sum of consecutive naturals, for example, 12059756 + ... + 12140244.

Almost surely, 2^973916900000 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 973916900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317153411630).

973916900000 is an abundant number, since it is smaller than the sum of its proper divisors (1660389923260).

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

973916900000 is an equidigital number, since it uses as much as digits as its factorization.

973916900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80546 (or 80507 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 44.

The spelling of 973916900000 in words is "nine hundred seventy-three billion, nine hundred sixteen million, nine hundred thousand".