47450188800 has 990 divisors, whose sum is σ = 204826250772. Its totient is φ = 10822533120.

The previous prime is 47450188769. The next prime is 47450188817. The reversal of 47450188800 is 888105474.

47450188800 is a `hidden beast` number, since 47 + 450 + 1 + 88 + 80 + 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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 101606167 + ... + 101606633.

Almost surely, 2^47450188800 is an apocalyptic number.

47450188800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47450188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102413125386).

47450188800 is an abundant number, since it is smaller than the sum of its proper divisors (157376061972).

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

47450188800 is a wasteful number, since it uses less digits than its factorization.

47450188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 47450188800 in words is "forty-seven billion, four hundred fifty million, one hundred eighty-eight thousand, eight hundred".