47698512301440 has 6144 divisors, whose sum is σ = 241765655040000. Its totient is φ = 8901696061440.

The previous prime is 47698512301411. The next prime is 47698512301441. The reversal of 47698512301440 is 4410321589674.

47698512301440 is a `hidden beast` number, since 4 + 7 + 6 + 98 + 512 + 30 + 1 + 4 + 4 + 0 = 666.

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 (47698512301441) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1289148981102 + ... + 1289148981138.

It is an arithmetic number, because the mean of its divisors is an integer number (39349878750).

It is a 1-persistent number, because it is pandigital, but 2⋅47698512301440 = 95397024602880 is not.

Almost surely, 2^{47698512301440} is an apocalyptic number.

47698512301440 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 47698512301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120882827520000).

47698512301440 is an abundant number, since it is smaller than the sum of its proper divisors (194067142738560).

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

47698512301440 is an equidigital number, since it uses as much as digits as its factorization.

47698512301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 47698512301440 in words is "forty-seven trillion, six hundred ninety-eight billion, five hundred twelve million, three hundred one thousand, four hundred forty".