84940188025 has 81 divisors (see below), whose sum is σ = 134850956877. Its totient is φ = 52879780800.

The previous prime is 84940188017. The next prime is 84940188037. The reversal of 84940188025 is 52088104948.

The square root of 84940188025 is 291445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 44876601 + 84895311424 = 6699^2 + 291368^2 .

It is not a de Polignac number, because 84940188025 - 2³ = 84940188017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 84940188025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 112205947 + ... + 112206703.

Almost surely, 2^84940188025 is an apocalyptic number.

84940188025 is the 291445-th square number.

84940188025 is the 145723-rd centered octagonal number.

It is an amenable number.

84940188025 is a deficient number, since it is larger than the sum of its proper divisors (49910768852).

84940188025 is an equidigital number, since it uses as much as digits as its factorization.

84940188025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

Multiplying 84940188025 by its sum of digits (49), we get a square (4162069213225 = 2040115²).

84940188025 divided by its sum of digits (49) gives a square (1733473225 = 41635²).

The spelling of 84940188025 in words is "eighty-four billion, nine hundred forty million, one hundred eighty-eight thousand, twenty-five".