47022317817552 has 800 divisors, whose sum is σ = 175617623681280. Its totient is φ = 11786504970240.

The previous prime is 47022317817551. The next prime is 47022317817577. The reversal of 47022317817552 is 25571871322074.

47022317817552 is a `hidden beast` number, since 4 + 7 + 0 + 2 + 2 + 3 + 1 + 7 + 81 + 7 + 552 = 666.

It is a super-2 number, since 2×47022317817552² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47022317817551) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9934989778 + ... + 9934994510.

Almost surely, 2^{47022317817552} is an apocalyptic number.

47022317817552 is a gapful number since it is divisible by the number (42) 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 47022317817552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87808811840640).

47022317817552 is an abundant number, since it is smaller than the sum of its proper divisors (128595305863728).

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

47022317817552 is a wasteful number, since it uses less digits than its factorization.

47022317817552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 47022317817552 in words is "forty-seven trillion, twenty-two billion, three hundred seventeen million, eight hundred seventeen thousand, five hundred fifty-two".