47613691755648 has 224 divisors, whose sum is σ = 144628535782800. Its totient is φ = 15602224872960.

The previous prime is 47613691755629. The next prime is 47613691755671. The reversal of 47613691755648 is 84655719631674.

47613691755648 is a `hidden beast` number, since 4 + 7 + 6 + 1 + 3 + 69 + 1 + 7 + 556 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1181143 + ... + 9829673.

Almost surely, 2^{47613691755648} is an apocalyptic number.

47613691755648 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 47613691755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72314267891400).

47613691755648 is an abundant number, since it is smaller than the sum of its proper divisors (97014844027152).

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

47613691755648 is an frugal number, since it uses more digits than its factorization.

47613691755648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648622 (or 8648595 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 47613691755648 in words is "forty-seven trillion, six hundred thirteen billion, six hundred ninety-one million, seven hundred fifty-five thousand, six hundred forty-eight".