214164106121357 has 24 divisors (see below), whose sum is σ = 260690511084696. Its totient is φ = 175237942658688.

The previous prime is 214164106121321. The next prime is 214164106121359. The reversal of 214164106121357 is 753121601461412.

214164106121357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 155482469886121 + 58681636235236 = 12469261^2 + 7660394^2 .

It is not a de Polignac number, because 214164106121357 - 2¹⁰ = 214164106120333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214164106121359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114308818 + ... + 1114500995.

It is an arithmetic number, because the mean of its divisors is an integer number (10862104628529).

Almost surely, 2^{214164106121357} is an apocalyptic number.

It is an amenable number.

214164106121357 is a deficient number, since it is larger than the sum of its proper divisors (46526404963339).

214164106121357 is a wasteful number, since it uses less digits than its factorization.

214164106121357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228809917 (or 2228809910 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

Adding to 214164106121357 its reverse (753121601461412), we get a palindrome (967285707582769).

The spelling of 214164106121357 in words is "two hundred fourteen trillion, one hundred sixty-four billion, one hundred six million, one hundred twenty-one thousand, three hundred fifty-seven".