36505452096 has 189 divisors, whose sum is σ = 110697504411. Its totient is φ = 11500524288.

The previous prime is 36505452089. The next prime is 36505452101. The reversal of 36505452096 is 69025450563.

The square root of 36505452096 is 191064.

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

36505452096 is a `hidden beast` number, since 3 + 6 + 505 + 4 + 52 + 0 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87124975 + ... + 87125393.

Almost surely, 2^36505452096 is an apocalyptic number.

36505452096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36505452096 is the 191064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36505452096

36505452096 is an abundant number, since it is smaller than the sum of its proper divisors (74192052315).

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

36505452096 is an equidigital number, since it uses as much as digits as its factorization.

36505452096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

It can be divided in two parts, 36505 and 452096, that added together give a square (488601 = 699²).

The spelling of 36505452096 in words is "thirty-six billion, five hundred five million, four hundred fifty-two thousand, ninety-six".