47617168582368 has 384 divisors, whose sum is σ = 173343630458880. Its totient is φ = 12354503616000.

The previous prime is 47617168582327. The next prime is 47617168582381. The reversal of 47617168582368 is 86328586171674.

47617168582368 is a `hidden beast` number, since 4 + 7 + 6 + 1 + 7 + 1 + 6 + 8 + 582 + 36 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 47617168582296 and 47617168582305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60214173 + ... + 60999843.

It is an arithmetic number, because the mean of its divisors is an integer number (451415704320).

Almost surely, 2^{47617168582368} is an apocalyptic number.

47617168582368 is a gapful number since it is divisible by the number (48) 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 47617168582368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86671815229440).

47617168582368 is an abundant number, since it is smaller than the sum of its proper divisors (125726461876512).

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

47617168582368 is a wasteful number, since it uses less digits than its factorization.

47617168582368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786619 (or 786605 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 47617168582368 in words is "forty-seven trillion, six hundred seventeen billion, one hundred sixty-eight million, five hundred eighty-two thousand, three hundred sixty-eight".