84202738202025 has 81 divisors (see below), whose sum is σ = 151258305400293. Its totient is φ = 44776944014400.

The previous prime is 84202738202003. The next prime is 84202738202029. The reversal of 84202738202025 is 52020283720248.

The square root of 84202738202025 is 9176205.

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

84202738202025 is a `hidden beast` number, since 8 + 42 + 0 + 27 + 382 + 0 + 202 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8608338396009 + 75594399806016 = 2933997^2 + 8694504^2 .

It is not a de Polignac number, because 84202738202025 - 2¹¹ = 84202738199977 is a prime.

It is a super-2 number, since 2×84202738202025² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (84202738202029) 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, 63453456912 + ... + 63453458238.

Almost surely, 2^{84202738202025} is an apocalyptic number.

84202738202025 is the 9176205-th square number.

84202738202025 is the 4588103-rd centered octagonal number.

It is an amenable number.

84202738202025 is a deficient number, since it is larger than the sum of its proper divisors (67055567198268).

84202738202025 is an frugal number, since it uses more digits than its factorization.

84202738202025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 84202738202025 in words is "eighty-four trillion, two hundred two billion, seven hundred thirty-eight million, two hundred two thousand, twenty-five".