47246238836160 has 672 divisors, whose sum is σ = 187994138250240. Its totient is φ = 9964537454592.

The previous prime is 47246238836117. The next prime is 47246238836161. The reversal of 47246238836160 is 6163883264274.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 47246238836094 and 47246238836103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47246238836161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1723861177 + ... + 1723888583.

It is an arithmetic number, because the mean of its divisors is an integer number (279753181920).

Almost surely, 2^{47246238836160} is an apocalyptic number.

47246238836160 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 47246238836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93997069125120).

47246238836160 is an abundant number, since it is smaller than the sum of its proper divisors (140747899414080).

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

47246238836160 is a wasteful number, since it uses less digits than its factorization.

47246238836160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30273 (or 30256 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 47246238836160 in words is "forty-seven trillion, two hundred forty-six billion, two hundred thirty-eight million, eight hundred thirty-six thousand, one hundred sixty".