47045610000 has 375 divisors, whose sum is σ = 170859036513. Its totient is φ = 12493440000.

The previous prime is 47045609993. The next prime is 47045610011. The reversal of 47045610000 is 1654074.

The square root of 47045610000 is 216900.

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

47045610000 is a `hidden beast` number, since 4 + 7 + 0 + 45 + 610 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 24444697104 + 22600912896 = 156348^2 + 150336^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 195209880 + ... + 195210120.

Almost surely, 2^47045610000 is an apocalyptic number.

47045610000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47045610000 is the 216900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47045610000

47045610000 is an abundant number, since it is smaller than the sum of its proper divisors (123813426513).

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

47045610000 is an frugal number, since it uses more digits than its factorization.

47045610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 47045610000 in words is "forty-seven billion, forty-five million, six hundred ten thousand".