1995144950016 has 405 divisors, whose sum is σ = 6330668894319. Its totient is φ = 624843030528.

The previous prime is 1995144950009. The next prime is 1995144950111. The reversal of 1995144950016 is 6100594415991.

1995144950016 = 4888³ + 4889³ + ... + 4904³.

The square root of 1995144950016 is 1412496.

It is a perfect power (a square), and thus also a powerful number.

1995144950016 is a `hidden beast` number, since 1 + 9 + 95 + 1 + 4 + 49 + 500 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1408266383616 + 586878566400 = 1186704^2 + 766080^2 .

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

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 44 ways as a sum of consecutive naturals, for example, 3457789920 + ... + 3457790496.

Almost surely, 2^{1995144950016} is an apocalyptic number.

1995144950016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1995144950016 is the 1412496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1995144950016

1995144950016 is an abundant number, since it is smaller than the sum of its proper divisors (4335523944303).

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

1995144950016 is an frugal number, since it uses more digits than its factorization.

1995144950016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 1995144950016 in words is "one trillion, nine hundred ninety-five billion, one hundred forty-four million, nine hundred fifty thousand, sixteen".