47675435429952 has 560 divisors, whose sum is σ = 154878665445504. Its totient is φ = 14381079552000.

The previous prime is 47675435429717. The next prime is 47675435429953. The reversal of 47675435429952 is 25992453457674.

47675435429952 is a `hidden beast` number, since 4 + 7 + 6 + 7 + 543 + 5 + 4 + 29 + 9 + 52 = 666.

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

Its product of digits (2286144000) is a multiple of the sum of its prime factors (4000).

It is not an unprimeable number, because it can be changed into a prime (47675435429953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18106886428 + ... + 18106889060.

Almost surely, 2^{47675435429952} 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 47675435429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77439332722752).

47675435429952 is an abundant number, since it is smaller than the sum of its proper divisors (107203230015552).

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

47675435429952 is a wasteful number, since it uses less digits than its factorization.

47675435429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3981 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 72.

The spelling of 47675435429952 in words is "forty-seven trillion, six hundred seventy-five billion, four hundred thirty-five million, four hundred twenty-nine thousand, nine hundred fifty-two".