2195127504144 has 80 divisors (see below), whose sum is σ = 6317026934400. Its totient is φ = 729828111744.

The previous prime is 2195127504139. The next prime is 2195127504211. The reversal of 2195127504144 is 4414057215912.

It is a happy number.

2195127504144 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 127 + 504 + 14 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2195127504144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6363204 + ... + 6699299.

It is an arithmetic number, because the mean of its divisors is an integer number (78962836680).

Almost surely, 2^{2195127504144} is an apocalyptic number.

2195127504144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2195127504144 is an abundant number, since it is smaller than the sum of its proper divisors (4121899430256).

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

2195127504144 is a wasteful number, since it uses less digits than its factorization.

2195127504144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13062909 (or 13062897 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2195127504144 in words is "two trillion, one hundred ninety-five billion, one hundred twenty-seven million, five hundred four thousand, one hundred forty-four".