1995055038144 has 168 divisors, whose sum is σ = 6551855819808. Its totient is φ = 568579461120.

The previous prime is 1995055038091. The next prime is 1995055038181. The reversal of 1995055038144 is 4418305505991.

1995055038144 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 0 + 550 + 3 + 81 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 977524 + ... + 2223884.

Almost surely, 2^{1995055038144} is an apocalyptic number.

1995055038144 is a gapful number since it is divisible by the number (14) 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 1995055038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275927909904).

1995055038144 is an abundant number, since it is smaller than the sum of its proper divisors (4556800781664).

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

1995055038144 is a wasteful number, since it uses less digits than its factorization.

1995055038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246783 (or 1246770 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 1995055038144 in words is "one trillion, nine hundred ninety-five billion, fifty-five million, thirty-eight thousand, one hundred forty-four".