47946931200 has 1188 divisors, whose sum is σ = 207647548992. Its totient is φ = 10528358400.

The previous prime is 47946931183. The next prime is 47946931237. The reversal of 47946931200 is 213964974.

It is a happy number.

It is a super-2 number, since 2×47946931200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 349977532 + ... + 349977668.

Almost surely, 2^47946931200 is an apocalyptic number.

47946931200 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 47946931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103823774496).

47946931200 is an abundant number, since it is smaller than the sum of its proper divisors (159700617792).

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

47946931200 is a wasteful number, since it uses less digits than its factorization.

47946931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 47946931200 in words is "forty-seven billion, nine hundred forty-six million, nine hundred thirty-one thousand, two hundred".