1995014354256 has 480 divisors, whose sum is σ = 7259672851200. Its totient is φ = 513421286400.

The previous prime is 1995014354237. The next prime is 1995014354279. The reversal of 1995014354256 is 6524534105991.

It is a happy number.

1995014354256 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 0 + 1 + 43 + 542 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39858526 + ... + 39908546.

It is an arithmetic number, because the mean of its divisors is an integer number (15124318440).

Almost surely, 2^{1995014354256} is an apocalyptic number.

1995014354256 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 1995014354256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629836425600).

1995014354256 is an abundant number, since it is smaller than the sum of its proper divisors (5264658496944).

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

1995014354256 is a wasteful number, since it uses less digits than its factorization.

1995014354256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50176 (or 50153 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 1995014354256 in words is "one trillion, nine hundred ninety-five billion, fourteen million, three hundred fifty-four thousand, two hundred fifty-six".