47232829484784 has 560 divisors, whose sum is σ = 151515234547200. Its totient is φ = 14198325926400.

The previous prime is 47232829484761. The next prime is 47232829484807. The reversal of 47232829484784 is 48748492823274.

47232829484784 is a `hidden beast` number, since 4 + 7 + 2 + 32 + 82 + 9 + 48 + 478 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (47232829484761) and next prime (47232829484807).

It is a super-2 number, since 2×47232829484784² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 456255589 + ... + 456359099.

Almost surely, 2^{47232829484784} 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 47232829484784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75757617273600).

47232829484784 is an abundant number, since it is smaller than the sum of its proper divisors (104282405062416).

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

47232829484784 is a wasteful number, since it uses less digits than its factorization.

47232829484784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103656 (or 103635 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 72.

The spelling of 47232829484784 in words is "forty-seven trillion, two hundred thirty-two billion, eight hundred twenty-nine million, four hundred eighty-four thousand, seven hundred eighty-four".