214763192349601 has 27 divisors (see below), whose sum is σ = 250311399699699. Its totient is φ = 183726184991328.

The previous prime is 214763192349583. The next prime is 214763192349649. The reversal of 214763192349601 is 106943291367412.

The square root of 214763192349601 is 14654801.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1119366116001 + 213643826233600 = 1058001^2 + 14616560^2 .

It is not a de Polignac number, because 214763192349601 - 2¹⁹ = 214763191825313 is a prime.

It is a super-2 number, since 2×214763192349601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214763192349691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62268247725 + ... + 62268251173.

Almost surely, 2^{214763192349601} is an apocalyptic number.

214763192349601 is the 14654801-st square number.

214763192349601 is the 7327401-st centered octagonal number.

It is an amenable number.

214763192349601 is a deficient number, since it is larger than the sum of its proper divisors (35548207350098).

214763192349601 is an frugal number, since it uses more digits than its factorization.

214763192349601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 214763192349601 in words is "two hundred fourteen trillion, seven hundred sixty-three billion, one hundred ninety-two million, three hundred forty-nine thousand, six hundred one".