47301973200 has 180 divisors, whose sum is σ = 166601850688. Its totient is φ = 12425529600.

The previous prime is 47301973171. The next prime is 47301973211. The reversal of 47301973200 is 237910374.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×47301973200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 143145 + ... + 339255.

Almost surely, 2^47301973200 is an apocalyptic number.

47301973200 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 47301973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83300925344).

47301973200 is an abundant number, since it is smaller than the sum of its proper divisors (119299877488).

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

47301973200 is a wasteful number, since it uses less digits than its factorization.

47301973200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196202 (or 196188 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 47301973200 in words is "forty-seven billion, three hundred one million, nine hundred seventy-three thousand, two hundred".