47405754252648 has 256 divisors, whose sum is σ = 144835366982400. Its totient is φ = 14247416401920.

The previous prime is 47405754252601. The next prime is 47405754252667. The reversal of 47405754252648 is 84625245750474.

47405754252648 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 57 + 54 + 2 + 526 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357020286 + ... + 357153042.

It is an arithmetic number, because the mean of its divisors is an integer number (565763152275).

Almost surely, 2^{47405754252648} 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 47405754252648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72417683491200).

47405754252648 is an abundant number, since it is smaller than the sum of its proper divisors (97429612729752).

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

47405754252648 is a wasteful number, since it uses less digits than its factorization.

47405754252648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134017 (or 134007 counting only the distinct ones).

The product of its (nonzero) digits is 301056000, while the sum is 63.

The spelling of 47405754252648 in words is "forty-seven trillion, four hundred five billion, seven hundred fifty-four million, two hundred fifty-two thousand, six hundred forty-eight".