47946028032 has 660 divisors, whose sum is σ = 170773251264. Its totient is φ = 13353984000.

The previous prime is 47946027989. The next prime is 47946028051. The reversal of 47946028032 is 23082064974.

47946028032 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 602 + 8 + 0 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 191019907 + ... + 191020157.

Almost surely, 2^47946028032 is an apocalyptic number.

47946028032 is a gapful number since it is divisible by the number (42) 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 47946028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85386625632).

47946028032 is an abundant number, since it is smaller than the sum of its proper divisors (122827223232).

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

47946028032 is a wasteful number, since it uses less digits than its factorization.

47946028032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 47946028032 in words is "forty-seven billion, nine hundred forty-six million, twenty-eight thousand, thirty-two".