47238630050304 has 3840 divisors, whose sum is σ = 194332481925120. Its totient is φ = 11312101785600.

The previous prime is 47238630050279. The next prime is 47238630050317. The reversal of 47238630050304 is 40305003683274.

47238630050304 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 8 + 630 + 0 + 5 + 0 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47238630050304.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 569140121047 + ... + 569140121129.

It is an arithmetic number, because the mean of its divisors is an integer number (50607417168).

Almost surely, 2^{47238630050304} is an apocalyptic number.

47238630050304 is a gapful number since it is divisible by the number (44) 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 47238630050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97166240962560).

47238630050304 is an abundant number, since it is smaller than the sum of its proper divisors (147093851874816).

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

47238630050304 is an equidigital number, since it uses as much as digits as its factorization.

47238630050304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 47238630050304 in words is "forty-seven trillion, two hundred thirty-eight billion, six hundred thirty million, fifty thousand, three hundred four".