2114064691200 has 1872 divisors, whose sum is σ = 9755246671872. Its totient is φ = 425115648000.

The previous prime is 2114064691199. The next prime is 2114064691223. The reversal of 2114064691200 is 21964604112.

2114064691200 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 0 + 646 + 9 + 1 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68195635185 + ... + 68195635215.

Almost surely, 2^{2114064691200} is an apocalyptic number.

2114064691200 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 2114064691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877623335936).

2114064691200 is an abundant number, since it is smaller than the sum of its proper divisors (7641181980672).

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

2114064691200 is an equidigital number, since it uses as much as digits as its factorization.

2114064691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2114064691200 in words is "two trillion, one hundred fourteen billion, sixty-four million, six hundred ninety-one thousand, two hundred".