46131105600 has 126 divisors (see below), whose sum is σ = 163960892550. Its totient is φ = 12301624320.

The previous prime is 46131105539. The next prime is 46131105641. The reversal of 46131105600 is 650113164.

46131105600 is a `hidden beast` number, since 4 + 61 + 31 + 10 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2513618496 + 43617487104 = 50136^2 + 208848^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1587375 + ... + 1616174.

It is an arithmetic number, because the mean of its divisors is an integer number (1301276925).

Almost surely, 2^46131105600 is an apocalyptic number.

46131105600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46131105600 is an abundant number, since it is smaller than the sum of its proper divisors (117829786950).

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

46131105600 is a wasteful number, since it uses less digits than its factorization.

46131105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203577 (or 3203559 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 46131105600 its reverse (650113164), we get a palindrome (46781218764).

The spelling of 46131105600 in words is "forty-six billion, one hundred thirty-one million, one hundred five thousand, six hundred".