47188216269792 has 960 divisors, whose sum is σ = 157565439972864. Its totient is φ = 13754397818880.

The previous prime is 47188216269769. The next prime is 47188216269853. The reversal of 47188216269792 is 29796261288174.

It is a happy number.

47188216269792 is a `hidden beast` number, since 4 + 7 + 1 + 88 + 216 + 269 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 47188216269792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10446802318 + ... + 10446806834.

Almost surely, 2^{47188216269792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47188216269792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78782719986432).

47188216269792 is an abundant number, since it is smaller than the sum of its proper divisors (110377223703072).

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

47188216269792 is a wasteful number, since it uses less digits than its factorization.

47188216269792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4776 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 47188216269792 in words is "forty-seven trillion, one hundred eighty-eight billion, two hundred sixteen million, two hundred sixty-nine thousand, seven hundred ninety-two".