47168301217050 has 192 divisors, whose sum is σ = 139980029454720. Its totient is φ = 11610070848000.

The previous prime is 47168301216983. The next prime is 47168301217091. The reversal of 47168301217050 is 5071210386174.

47168301217050 is a `hidden beast` number, since 4 + 71 + 68 + 301 + 2 + 170 + 50 = 666.

It is a super-2 number, since 2×47168301217050² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 47168301216987 and 47168301217005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420634990 + ... + 420747110.

It is an arithmetic number, because the mean of its divisors is an integer number (729062653410).

Almost surely, 2^{47168301217050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47168301217050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69990014727360).

47168301217050 is an abundant number, since it is smaller than the sum of its proper divisors (92811728237670).

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

47168301217050 is a wasteful number, since it uses less digits than its factorization.

47168301217050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136126 (or 136115 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 47168301217050 in words is "forty-seven trillion, one hundred sixty-eight billion, three hundred one million, two hundred seventeen thousand, fifty".