2114714649600 has 2112 divisors, whose sum is σ = 9575448084480. Its totient is φ = 446703206400.

The previous prime is 2114714649557. The next prime is 2114714649611. The reversal of 2114714649600 is 69464174112.

2114714649600 is a `hidden beast` number, since 2 + 1 + 14 + 7 + 146 + 496 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 3449778894 + ... + 3449779506.

Almost surely, 2^{2114714649600} is an apocalyptic number.

2114714649600 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 2114714649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787724042240).

2114714649600 is an abundant number, since it is smaller than the sum of its proper divisors (7460733434880).

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

2114714649600 is a wasteful number, since it uses less digits than its factorization.

2114714649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2114714649600 in words is "two trillion, one hundred fourteen billion, seven hundred fourteen million, six hundred forty-nine thousand, six hundred".