47745348956928 has 720 divisors, whose sum is σ = 165221610459360. Its totient is φ = 13599455772672.

The previous prime is 47745348956891. The next prime is 47745348957001. The reversal of 47745348956928 is 82965984354774.

47745348956928 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 5 + 3 + 48 + 9 + 569 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5592750676 + ... + 5592759212.

Almost surely, 2^{47745348956928} is an apocalyptic number.

47745348956928 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 47745348956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82610805229680).

47745348956928 is an abundant number, since it is smaller than the sum of its proper divisors (117476261502432).

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

47745348956928 is an frugal number, since it uses more digits than its factorization.

47745348956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8927 (or 8886 counting only the distinct ones).

The product of its digits is 14631321600, while the sum is 81.

The spelling of 47745348956928 in words is "forty-seven trillion, seven hundred forty-five billion, three hundred forty-eight million, nine hundred fifty-six thousand, nine hundred twenty-eight".