47943481600 has 729 divisors, whose sum is σ = 153292517427. Its totient is φ = 14798192640.

The previous prime is 47943481589. The next prime is 47943481673. The reversal of 47943481600 is 618434974.

The square root of 47943481600 is 218960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1121446144 + 46822035456 = 33488^2 + 216384^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2084499189 + ... + 2084499211.

Almost surely, 2^47943481600 is an apocalyptic number.

47943481600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47943481600 is the 218960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47943481600

47943481600 is an abundant number, since it is smaller than the sum of its proper divisors (105349035827).

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

47943481600 is a wasteful number, since it uses less digits than its factorization.

47943481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 47943481600 in words is "forty-seven billion, nine hundred forty-three million, four hundred eighty-one thousand, six hundred".