47253374558208 has 1344 divisors, whose sum is σ = 172991998513152. Its totient is φ = 12095544360960.

The previous prime is 47253374558123. The next prime is 47253374558231. The reversal of 47253374558208 is 80285547335274.

47253374558208 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 3 + 3 + 7 + 45 + 582 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77847404241 + ... + 77847404847.

It is an arithmetic number, because the mean of its divisors is an integer number (128714284608).

Almost surely, 2^{47253374558208} is an apocalyptic number.

47253374558208 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 47253374558208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86495999256576).

47253374558208 is an abundant number, since it is smaller than the sum of its proper divisors (125738623954944).

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

47253374558208 is a wasteful number, since it uses less digits than its factorization.

47253374558208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 63.

The spelling of 47253374558208 in words is "forty-seven trillion, two hundred fifty-three billion, three hundred seventy-four million, five hundred fifty-eight thousand, two hundred eight".