47314512000 has 768 divisors, whose sum is σ = 197158590720. Its totient is φ = 10650009600.

The previous prime is 47314511999. The next prime is 47314512017. The reversal of 47314512000 is 21541374.

47314512000 is a `hidden beast` number, since 4 + 7 + 3 + 1 + 451 + 200 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73583679 + ... + 73584321.

It is an arithmetic number, because the mean of its divisors is an integer number (256716915).

Almost surely, 2^47314512000 is an apocalyptic number.

47314512000 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 47314512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98579295360).

47314512000 is an abundant number, since it is smaller than the sum of its proper divisors (149844078720).

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

47314512000 is a wasteful number, since it uses less digits than its factorization.

47314512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 733 counting only the distinct ones).

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

The spelling of 47314512000 in words is "forty-seven billion, three hundred fourteen million, five hundred twelve thousand".