714540961348201 has 49 divisors (see below), whose sum is σ = 809271757483099. Its totient is φ = 630899042795736.

The previous prime is 714540961348183. The next prime is 714540961348229. The reversal of 714540961348201 is 102843169045417.

It is a happy number.

The square root of 714540961348201 is 26730899.

The cubic root of 714540961348201 is 89401.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

714540961348201 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 3 ways, for example, as 613049924424025 + 101491036924176 = 24759845^2 + 10074276^2 .

It is not a de Polignac number, because 714540961348201 - 2²⁹ = 714540424477289 is a prime.

It is a super-2 number, since 2×714540961348201² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (714540961348601) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 31066998319476 + ... + 31066998319498.

It is a 1-persistent number, because it is pandigital, but 2⋅714540961348201 = 1429081922696402 is not.

Almost surely, 2^{714540961348201} is an apocalyptic number.

714540961348201 is the 26730899-th square number.

714540961348201 is the 13365450-th centered octagonal number.

It is an amenable number.

714540961348201 is a deficient number, since it is larger than the sum of its proper divisors (94730796134898).

714540961348201 is an frugal number, since it uses more digits than its factorization.

714540961348201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 714540961348201 in words is "seven hundred fourteen trillion, five hundred forty billion, nine hundred sixty-one million, three hundred forty-eight thousand, two hundred one".