2148801414800 has 30 divisors (see below), whose sum is σ = 5162495400018. Its totient is φ = 859520565760.

The previous prime is 2148801414779. The next prime is 2148801414839. The reversal of 2148801414800 is 84141088412.

It can be written as a sum of positive squares in 3 ways, for example, as 7343804416 + 2141457610384 = 85696^2 + 1463372^2 .

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 5 ways as a sum of consecutive naturals, for example, 2686001369 + ... + 2686002168.

Almost surely, 2^{2148801414800} is an apocalyptic number.

2148801414800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148801414800 is an abundant number, since it is smaller than the sum of its proper divisors (3013693985218).

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

2148801414800 is a wasteful number, since it uses less digits than its factorization.

2148801414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372003555 (or 5372003544 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The spelling of 2148801414800 in words is "two trillion, one hundred forty-eight billion, eight hundred one million, four hundred fourteen thousand, eight hundred".