84218942025 has 45 divisors (see below), whose sum is σ = 156026787301. Its totient is φ = 44909804160.

The previous prime is 84218942023. The next prime is 84218942039. The reversal of 84218942025 is 52024981248.

The square root of 84218942025 is 290205.

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

84218942025 is a `hidden beast` number, since 8 + 4 + 218 + 9 + 420 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17202158649 + 67016783376 = 131157^2 + 258876^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 84218942025 - 2¹ = 84218942023 is a prime.

It is a super-2 number, since 2×84218942025² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84218942023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13056001 + ... + 13062449.

Almost surely, 2^84218942025 is an apocalyptic number.

84218942025 is the 290205-th square number.

84218942025 is the 145103-rd centered octagonal number.

It is an amenable number.

84218942025 is a deficient number, since it is larger than the sum of its proper divisors (71807845276).

84218942025 is an frugal number, since it uses more digits than its factorization.

84218942025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 84218942025 in words is "eighty-four billion, two hundred eighteen million, nine hundred forty-two thousand, twenty-five".