47854106496 has 192 divisors, whose sum is σ = 165660892800. Its totient is φ = 12952949760.

The previous prime is 47854106449. The next prime is 47854106507. The reversal of 47854106496 is 69460145874.

47854106496 is a `hidden beast` number, since 4 + 7 + 8 + 541 + 0 + 6 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2950 + ... + 309381.

It is an arithmetic number, because the mean of its divisors is an integer number (862817150).

Almost surely, 2^47854106496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47854106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82830446400).

47854106496 is an abundant number, since it is smaller than the sum of its proper divisors (117806786304).

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

47854106496 is a wasteful number, since it uses less digits than its factorization.

47854106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312377 (or 312362 counting only the distinct ones).

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

The spelling of 47854106496 in words is "forty-seven billion, eight hundred fifty-four million, one hundred six thousand, four hundred ninety-six".