46752385729 has 81 divisors (see below), whose sum is σ = 61167981987. Its totient is φ = 35619712128.

The previous prime is 46752385723. The next prime is 46752385747. The reversal of 46752385729 is 92758325764.

It is a happy number.

The square root of 46752385729 is 216223.

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

It can be written as a sum of positive squares in only one way, i.e., 36398916225 + 10353469504 = 190785^2 + 101752^2 .

It is not a de Polignac number, because 46752385729 - 2³ = 46752385721 is a prime.

It is a super-2 number, since 2×46752385729² (a number of 22 digits) contains 22 as substring.

Its product of digits (25401600) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (46752385721) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 591802312 + ... + 591802390.

Almost surely, 2^46752385729 is an apocalyptic number.

46752385729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

46752385729 is the 216223-rd square number.

46752385729 is the 108112-nd centered octagonal number.

It is an amenable number.

46752385729 is a deficient number, since it is larger than the sum of its proper divisors (14415596258).

46752385729 is an equidigital number, since it uses as much as digits as its factorization.

46752385729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 58.

The spelling of 46752385729 in words is "forty-six billion, seven hundred fifty-two million, three hundred eighty-five thousand, seven hundred twenty-nine".