2118147408000 has 1792 divisors, whose sum is σ = 8680255365600. Its totient is φ = 510603264000.

The previous prime is 2118147407993. The next prime is 2118147408017. The reversal of 2118147408000 is 8047418112.

2118147408000 is a `hidden beast` number, since 2 + 1 + 181 + 474 + 0 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 400810545216 + 1717336862784 = 633096^2 + 1310472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 9249551886 + ... + 9249552114.

Almost surely, 2^{2118147408000} is an apocalyptic number.

2118147408000 is a gapful number since it is divisible by the number (20) 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 2118147408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340127682800).

2118147408000 is an abundant number, since it is smaller than the sum of its proper divisors (6562107957600).

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

2118147408000 is an equidigital number, since it uses as much as digits as its factorization.

2118147408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 2118147408000 in words is "two trillion, one hundred eighteen billion, one hundred forty-seven million, four hundred eight thousand".