84029470564081 has 81 divisors (see below), whose sum is σ = 104062324579659. Its totient is φ = 67645401366816.

The previous prime is 84029470564073. The next prime is 84029470564139. The reversal of 84029470564081 is 18046507492048.

The square root of 84029470564081 is 9166759.

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., 24630326781025 + 59399143783056 = 4962895^2 + 7707084^2 .

It is not a de Polignac number, because 84029470564081 - 2³ = 84029470564073 is a prime.

It is a super-2 number, since 2×84029470564081² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84029470561081) 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, 191411094460 + ... + 191411094898.

It is an arithmetic number, because the mean of its divisors is an integer number (1284720056539).

Almost surely, 2^{84029470564081} is an apocalyptic number.

84029470564081 is the 9166759-th square number.

84029470564081 is the 4583380-th centered octagonal number.

It is an amenable number.

84029470564081 is a deficient number, since it is larger than the sum of its proper divisors (20032854015578).

84029470564081 is an frugal number, since it uses more digits than its factorization.

84029470564081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 84029470564081 in words is "eighty-four trillion, twenty-nine billion, four hundred seventy million, five hundred sixty-four thousand, eighty-one".