47466806642496 has 224 divisors, whose sum is σ = 147180097612800. Its totient is φ = 14959712448000.

The previous prime is 47466806642473. The next prime is 47466806642503. The reversal of 47466806642496 is 69424660866474.

47466806642496 is a `hidden beast` number, since 4 + 7 + 4 + 66 + 80 + 66 + 424 + 9 + 6 = 666.

It is a super-2 number, since 2×47466806642496² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15077371 + ... + 17951621.

It is an arithmetic number, because the mean of its divisors is an integer number (657054007200).

Almost surely, 2^{47466806642496} 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 47466806642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73590048806400).

47466806642496 is an abundant number, since it is smaller than the sum of its proper divisors (99713290970304).

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

47466806642496 is a wasteful number, since it uses less digits than its factorization.

47466806642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874794 (or 2874778 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 72.

The spelling of 47466806642496 in words is "forty-seven trillion, four hundred sixty-six billion, eight hundred six million, six hundred forty-two thousand, four hundred ninety-six".