84156269409 has 15 divisors (see below), whose sum is σ = 125718821283. Its totient is φ = 56102439024.

The previous prime is 84156269369. The next prime is 84156269489. The reversal of 84156269409 is 90496265148.

The square root of 84156269409 is 290097.

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

84156269409 is a `hidden beast` number, since 8 + 4 + 1 + 5 + 626 + 9 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61814390625 + 22341878784 = 248625^2 + 149472^2 .

It is not a de Polignac number, because 84156269409 - 2²³ = 84147880801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84156269489) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2594757 + ... + 2626989.

Almost surely, 2^84156269409 is an apocalyptic number.

84156269409 is the 290097-th square number.

84156269409 is the 145049-th centered octagonal number.

It is an amenable number.

84156269409 is a deficient number, since it is larger than the sum of its proper divisors (41562551874).

84156269409 is an frugal number, since it uses more digits than its factorization.

84156269409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64478 (or 32236 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 84156269409 in words is "eighty-four billion, one hundred fifty-six million, two hundred sixty-nine thousand, four hundred nine".