84107827945024 has 189 divisors, whose sum is σ = 182179934597619. Its totient is φ = 38509530209280.

The previous prime is 84107827944997. The next prime is 84107827945051. The reversal of 84107827945024 is 42054972870148.

The square root of 84107827945024 is 9171032.

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

84107827945024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (84107827944997) and next prime (84107827945051).

It can be written as a sum of positive squares in 4 ways, for example, as 18912409345600 + 65195418599424 = 4348840^2 + 8074368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155467334194 + ... + 155467334734.

It is an arithmetic number, because the mean of its divisors is an integer number (963914997871).

Almost surely, 2^{84107827945024} is an apocalyptic number.

84107827945024 is the 9171032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84107827945024

84107827945024 is an abundant number, since it is smaller than the sum of its proper divisors (98072106652595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84107827945024 is an frugal number, since it uses more digits than its factorization.

84107827945024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 61.

The spelling of 84107827945024 in words is "eighty-four trillion, one hundred seven billion, eight hundred twenty-seven million, nine hundred forty-five thousand, twenty-four".