84476841201 has 81 divisors (see below), whose sum is σ = 133823430273. Its totient is φ = 51340239360.

The previous prime is 84476841149. The next prime is 84476841277. The reversal of 84476841201 is 10214867448.

The square root of 84476841201 is 290649.

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

84476841201 is a `hidden beast` number, since 8 + 447 + 6 + 84 + 120 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5951351025 + 78525490176 = 77145^2 + 280224^2 .

It is not a de Polignac number, because 84476841201 - 2¹⁵ = 84476808433 is a prime.

It is a super-2 number, since 2×84476841201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84476842201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 607746990 + ... + 607747128.

Almost surely, 2^84476841201 is an apocalyptic number.

84476841201 is the 290649-th square number.

84476841201 is the 145325-th centered octagonal number.

It is an amenable number.

84476841201 is a deficient number, since it is larger than the sum of its proper divisors (49346589072).

84476841201 is a wasteful number, since it uses less digits than its factorization.

84476841201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 84476841201 in words is "eighty-four billion, four hundred seventy-six million, eight hundred forty-one thousand, two hundred one".