1973005122816 has 720 divisors, whose sum is σ = 7298693484544. Its totient is φ = 516193026048.

The previous prime is 1973005122779. The next prime is 1973005122817. The reversal of 1973005122816 is 6182215003791.

1973005122816 is a `hidden beast` number, since 1 + 97 + 30 + 0 + 512 + 2 + 8 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973005122817) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 239641836 + ... + 239650068.

Almost surely, 2^{1973005122816} is an apocalyptic number.

1973005122816 is a gapful number since it is divisible by the number (16) 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 1973005122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649346742272).

1973005122816 is an abundant number, since it is smaller than the sum of its proper divisors (5325688361728).

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

1973005122816 is a wasteful number, since it uses less digits than its factorization.

1973005122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1973005122816 in words is "one trillion, nine hundred seventy-three billion, five million, one hundred twenty-two thousand, eight hundred sixteen".