47208487506048 has 768 divisors, whose sum is σ = 157580309053440. Its totient is φ = 13945527336960.

The previous prime is 47208487506041. The next prime is 47208487506107. The reversal of 47208487506048 is 84060578480274.

47208487506048 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 8 + 4 + 87 + 506 + 0 + 48 = 666.

It is a super-2 number, since 2×47208487506048² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47208487506041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4132751665 + ... + 4132763087.

It is an arithmetic number, because the mean of its divisors is an integer number (205182694080).

Almost surely, 2^{47208487506048} is an apocalyptic number.

47208487506048 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 47208487506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78790154526720).

47208487506048 is an abundant number, since it is smaller than the sum of its proper divisors (110371821547392).

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

47208487506048 is a wasteful number, since it uses less digits than its factorization.

47208487506048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11767 (or 11743 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 47208487506048 in words is "forty-seven trillion, two hundred eight billion, four hundred eighty-seven million, five hundred six thousand, forty-eight".