46932889600 has 117 divisors (see below), whose sum is σ = 116551516447. Its totient is φ = 18745425920.

The previous prime is 46932889579. The next prime is 46932889609. The reversal of 46932889600 is 698823964.

It is a happy number.

The square root of 46932889600 is 216640.

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 13522898944 + 33409990656 = 116288^2 + 182784^2 .

It is a super-2 number, since 2×46932889600² (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 (46932889609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69324462 + ... + 69325138.

Almost surely, 2^46932889600 is an apocalyptic number.

46932889600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46932889600 is the 216640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46932889600

46932889600 is an abundant number, since it is smaller than the sum of its proper divisors (69618626847).

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

46932889600 is an frugal number, since it uses more digits than its factorization.

46932889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 46932889600 in words is "forty-six billion, nine hundred thirty-two million, eight hundred eighty-nine thousand, six hundred".