47345408100 has 81 divisors (see below), whose sum is σ = 148422014923. Its totient is φ = 12623701440.

The previous prime is 47345408093. The next prime is 47345408101. The reversal of 47345408100 is 180454374.

The square root of 47345408100 is 217590.

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

47345408100 is a `hidden beast` number, since 4 + 7 + 3 + 4 + 540 + 8 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 440244324 + 46905163776 = 20982^2 + 216576^2 .

It is a super-2 number, since 2×47345408100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47345408101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6524074 + ... + 6531326.

Almost surely, 2^47345408100 is an apocalyptic number.

47345408100 is the 217590-th square number.

It is an amenable number.

47345408100 is an abundant number, since it is smaller than the sum of its proper divisors (101076606823).

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

47345408100 is an equidigital number, since it uses as much as digits as its factorization.

47345408100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14526 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 47345408100 by its sum of digits (36), we get a square (1704434691600 = 1305540²).

47345408100 divided by its sum of digits (36) gives a square (1315150225 = 36265²).

The spelling of 47345408100 in words is "forty-seven billion, three hundred forty-five million, four hundred eight thousand, one hundred".