214552946050560 has 3840 divisors, whose sum is σ = 895740456441600. Its totient is φ = 48349052928000.

The previous prime is 214552946050517. The next prime is 214552946050633. The reversal of 214552946050560 is 65050649255412.

214552946050560 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 5 + 29 + 4 + 6 + 0 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 214552946050497 and 214552946050506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1968375651786 + ... + 1968375651894.

It is an arithmetic number, because the mean of its divisors is an integer number (233265743865).

Almost surely, 2^{214552946050560} is an apocalyptic number.

214552946050560 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 214552946050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447870228220800).

214552946050560 is an abundant number, since it is smaller than the sum of its proper divisors (681187510391040).

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

214552946050560 is a wasteful number, since it uses less digits than its factorization.

214552946050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 214552946050560 in words is "two hundred fourteen trillion, five hundred fifty-two billion, nine hundred forty-six million, fifty thousand, five hundred sixty".