36388233049 has 45 divisors (see below), whose sum is σ = 45292161597. Its totient is φ = 29227024512.

The previous prime is 36388233043. The next prime is 36388233061. The reversal of 36388233049 is 94033288363.

It is a happy number.

The square root of 36388233049 is 190757.

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 19297377225 + 17090855824 = 138915^2 + 130732^2 .

It is not a de Polignac number, because 36388233049 - 2⁷ = 36388232921 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36388232993 and 36388233011.

It is not an unprimeable number, because it can be changed into a prime (36388233043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 158900467 + ... + 158900695.

Almost surely, 2^36388233049 is an apocalyptic number.

36388233049 is the 190757-th square number.

36388233049 is the 95379-th centered octagonal number.

It is an amenable number.

36388233049 is a deficient number, since it is larger than the sum of its proper divisors (8903928548).

36388233049 is an frugal number, since it uses more digits than its factorization.

36388233049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 49.

Multiplying 36388233049 by its sum of digits (49), we get a square (1783023419401 = 1335299²).

36388233049 divided by its sum of digits (49) gives a square (742617001 = 27251²).

The spelling of 36388233049 in words is "thirty-six billion, three hundred eighty-eight million, two hundred thirty-three thousand, forty-nine".