47456477100 has 288 divisors, whose sum is σ = 159500902400. Its totient is φ = 12090124800.

The previous prime is 47456477063. The next prime is 47456477147. The reversal of 47456477100 is 177465474.

47456477100 is a `hidden beast` number, since 4 + 7 + 4 + 564 + 77 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 6608712 + ... + 6615888.

Almost surely, 2^47456477100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47456477100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79750451200).

47456477100 is an abundant number, since it is smaller than the sum of its proper divisors (112044425300).

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

47456477100 is a wasteful number, since it uses less digits than its factorization.

47456477100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 47456477100 in words is "forty-seven billion, four hundred fifty-six million, four hundred seventy-seven thousand, one hundred".