19995678114048 has 648 divisors, whose sum is σ = 72297674159256. Its totient is φ = 5268204748800.

The previous prime is 19995678114043. The next prime is 19995678114091. The reversal of 19995678114048 is 84041187659991.

19995678114048 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 567 + 8 + 1 + 14 + 0 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1345303056384 + 18650375057664 = 1159872^2 + 4318608^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (19995678114043) 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 71 ways as a sum of consecutive naturals, for example, 1557168108 + ... + 1557180948.

Almost surely, 2^{19995678114048} is an apocalyptic number.

19995678114048 is a gapful number since it is divisible by the number (18) 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 19995678114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36148837079628).

19995678114048 is an abundant number, since it is smaller than the sum of its proper divisors (52301996045208).

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

19995678114048 is a wasteful number, since it uses less digits than its factorization.

19995678114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951 (or 13927 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 19995678114048 in words is "nineteen trillion, nine hundred ninety-five billion, six hundred seventy-eight million, one hundred fourteen thousand, forty-eight".