47193217600 has 63 divisors (see below), whose sum is σ = 116146196841. Its totient is φ = 18873811200.

The previous prime is 47193217597. The next prime is 47193217601. The reversal of 47193217600 is 671239174.

The square root of 47193217600 is 217240.

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

It can be written as a sum of positive squares in only one way, i.e., 16989558336 + 30203659264 = 130344^2 + 173792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47193217601) 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, 8686885 + ... + 8692315.

Almost surely, 2^47193217600 is an apocalyptic number.

47193217600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47193217600 is the 217240-th square number.

It is an amenable number.

47193217600 is an abundant number, since it is smaller than the sum of its proper divisors (68952979241).

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

47193217600 is an frugal number, since it uses more digits than its factorization.

47193217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10884 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 47193217600 in words is "forty-seven billion, one hundred ninety-three million, two hundred seventeen thousand, six hundred".