8141452900 has 81 divisors (see below), whose sum is σ = 20567309259. Its totient is φ = 2789189760.

The previous prime is 8141452897. The next prime is 8141452909. The reversal of 8141452900 is 92541418.

It is a happy number.

The square root of 8141452900 is 90230.

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 302829604 + 7838623296 = 17402^2 + 88536^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8141452909) 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, 6315456 + ... + 6316744.

Almost surely, 2^8141452900 is an apocalyptic number.

8141452900 is the 90230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8141452900

8141452900 is an abundant number, since it is smaller than the sum of its proper divisors (12425856359).

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

8141452900 is a wasteful number, since it uses less digits than its factorization.

8141452900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The cubic root of 8141452900 is about 2011.7189407634.

It can be divided in two parts, 8141 and 452900, that added together give a square (461041 = 679²).

The spelling of 8141452900 in words is "eight billion, one hundred forty-one million, four hundred fifty-two thousand, nine hundred".