46510960896 has 81 divisors (see below), whose sum is σ = 134132420149. Its totient is φ = 15500203008.

The previous prime is 46510960891. The next prime is 46510960897. The reversal of 46510960896 is 69806901564.

It is a happy number.

The square root of 46510960896 is 215664.

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

46510960896 is a `hidden beast` number, since 46 + 510 + 9 + 6 + 0 + 89 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46345478400 + 165482496 = 215280^2 + 12864^2 .

It is a super-2 number, since 2×46510960896² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46510960891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10349626 + ... + 10354118.

Almost surely, 2^46510960896 is an apocalyptic number.

46510960896 is the 215664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46510960896

46510960896 is an abundant number, since it is smaller than the sum of its proper divisors (87621459253).

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

46510960896 is an frugal number, since it uses more digits than its factorization.

46510960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 46510960896 in words is "forty-six billion, five hundred ten million, nine hundred sixty thousand, eight hundred ninety-six".