2214663051132 has 288 divisors, whose sum is σ = 6533734072320. Its totient is φ = 619484112000.

The previous prime is 2214663051121. The next prime is 2214663051229. The reversal of 2214663051132 is 2311503664122.

2214663051132 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 6 + 630 + 5 + 1 + 13 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2496801193 + ... + 2496802079.

It is an arithmetic number, because the mean of its divisors is an integer number (22686576640).

Almost surely, 2^{2214663051132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214663051132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266867036160).

2214663051132 is an abundant number, since it is smaller than the sum of its proper divisors (4319071021188).

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

2214663051132 is a wasteful number, since it uses less digits than its factorization.

2214663051132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2214663051132 in words is "two trillion, two hundred fourteen billion, six hundred sixty-three million, fifty-one thousand, one hundred thirty-two".