81814305024 has 243 divisors, whose sum is σ = 242356057489. Its totient is φ = 26543769600.

The previous prime is 81814305019. The next prime is 81814305029. The reversal of 81814305024 is 42050341818.

The square root of 81814305024 is 286032.

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

81814305024 is a `hidden beast` number, since 8 + 1 + 8 + 143 + 0 + 502 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (81814305019) and next prime (81814305029).

It can be written as a sum of positive squares in only one way, i.e., 78606215424 + 3208089600 = 280368^2 + 56640^2 .

It is a super-2 number, since 2×81814305024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 81814305024.

It is not an unprimeable number, because it can be changed into a prime (81814305029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 810042574 + ... + 810042674.

Almost surely, 2^81814305024 is an apocalyptic number.

81814305024 is the 286032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81814305024

81814305024 is an abundant number, since it is smaller than the sum of its proper divisors (160541752465).

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

81814305024 is an equidigital number, since it uses as much as digits as its factorization.

81814305024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 81814305024 by its sum of digits (36), we get a square (2945314980864 = 1716192²).

81814305024 divided by its sum of digits (36) gives a square (2272619584 = 47672²).

The spelling of 81814305024 in words is "eighty-one billion, eight hundred fourteen million, three hundred five thousand, twenty-four".