233310136407049 has 27 divisors (see below), whose sum is σ = 255290041042623. Its totient is φ = 213125367416832.

The previous prime is 233310136407031. The next prime is 233310136407067. The reversal of 233310136407049 is 940704631013332.

The square root of 233310136407049 is 15274493.

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

233310136407049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233310136407031) and next prime (233310136407067).

It can be written as a sum of positive squares in 13 ways, for example, as 228442517919225 + 4867618487824 = 15114315^2 + 2206268^2 .

It is not a de Polignac number, because 233310136407049 - 2¹⁷ = 233310136275977 is a prime.

It is a super-2 number, since 2×233310136407049² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233310136407149) 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, 19261129617 + ... + 19261141729.

Almost surely, 2^{233310136407049} is an apocalyptic number.

233310136407049 is the 15274493-rd square number.

233310136407049 is the 7637247-th centered octagonal number.

It is an amenable number.

233310136407049 is a deficient number, since it is larger than the sum of its proper divisors (21979904635574).

233310136407049 is an frugal number, since it uses more digits than its factorization.

233310136407049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24446 (or 12223 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 46.

The spelling of 233310136407049 in words is "two hundred thirty-three trillion, three hundred ten billion, one hundred thirty-six million, four hundred seven thousand, forty-nine".