84307269246201 has 45 divisors (see below), whose sum is σ = 131657202929791. Its totient is φ = 53759945189808.

The previous prime is 84307269246191. The next prime is 84307269246229. The reversal of 84307269246201 is 10264296270348.

It is a happy number.

The square root of 84307269246201 is 9181899.

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

84307269246201 is a `hidden beast` number, since 8 + 4 + 3 + 0 + 7 + 2 + 6 + 9 + 2 + 4 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79246227141225 + 5061042104976 = 8902035^2 + 2249676^2 .

It is not a de Polignac number, because 84307269246201 - 2¹³ = 84307269238009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84307269246251) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1900630915 + ... + 1900675271.

Almost surely, 2^{84307269246201} is an apocalyptic number.

84307269246201 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

84307269246201 is the 9181899-th square number.

84307269246201 is the 4590950-th centered octagonal number.

It is an amenable number.

84307269246201 is a deficient number, since it is larger than the sum of its proper divisors (47349933683590).

84307269246201 is an frugal number, since it uses more digits than its factorization.

84307269246201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88772 (or 44383 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 84307269246201 in words is "eighty-four trillion, three hundred seven billion, two hundred sixty-nine million, two hundred forty-six thousand, two hundred one".