2114944473600 has 1920 divisors, whose sum is σ = 9226869442560. Its totient is φ = 470292480000.

The previous prime is 2114944473563. The next prime is 2114944473601. The reversal of 2114944473600 is 63744494112.

2114944473600 is a `hidden beast` number, since 2 + 1 + 149 + 4 + 447 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2114944473600² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2114944473601) by changing a digit.

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, 8426073475 + ... + 8426073725.

It is an arithmetic number, because the mean of its divisors is an integer number (4805661168).

Almost surely, 2^{2114944473600} is an apocalyptic number.

2114944473600 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 2114944473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613434721280).

2114944473600 is an abundant number, since it is smaller than the sum of its proper divisors (7111924968960).

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

2114944473600 is an frugal number, since it uses more digits than its factorization.

2114944473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2114944473600 in words is "two trillion, one hundred fourteen billion, nine hundred forty-four million, four hundred seventy-three thousand, six hundred".