2114050348800 has 648 divisors, whose sum is σ = 8329027731024. Its totient is φ = 508271984640.

The previous prime is 2114050348799. The next prime is 2114050348831. The reversal of 2114050348800 is 88430504112.

2114050348800 is a `hidden beast` number, since 2 + 1 + 140 + 503 + 4 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×2114050348800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 32165572 + ... + 32231228.

Almost surely, 2^{2114050348800} is an apocalyptic number.

2114050348800 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 2114050348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164513865512).

2114050348800 is an abundant number, since it is smaller than the sum of its proper divisors (6214977382224).

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

2114050348800 is a wasteful number, since it uses less digits than its factorization.

2114050348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65745 (or 65723 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2114050348800 in words is "two trillion, one hundred fourteen billion, fifty million, three hundred forty-eight thousand, eight hundred".