46466171892100 has 81 divisors (see below), whose sum is σ = 101087997276357. Its totient is φ = 18539325082080.

The previous prime is 46466171892037. The next prime is 46466171892109. The reversal of 46466171892100 is 129817166464.

The square root of 46466171892100 is 6816610.

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

46466171892100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 16727821881156 + 29738350010944 = 4089966^2 + 5453288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46466171892109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41376822139 + ... + 41376823261.

Almost surely, 2^{46466171892100} is an apocalyptic number.

46466171892100 is the 6816610-th square number.

It is an amenable number.

46466171892100 is an abundant number, since it is smaller than the sum of its proper divisors (54621825384257).

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

46466171892100 is an frugal number, since it uses more digits than its factorization.

46466171892100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 46466171892100 in words is "forty-six trillion, four hundred sixty-six billion, one hundred seventy-one million, eight hundred ninety-two thousand, one hundred".