47353996267776 has 243 divisors, whose sum is σ = 150085248240837. Its totient is φ = 14348594810880.

The previous prime is 47353996267771. The next prime is 47353996267829. The reversal of 47353996267776 is 67776269935374.

The square root of 47353996267776 is 6881424.

It is a perfect power (a square), and thus also a powerful number.

47353996267776 is a `hidden beast` number, since 4 + 7 + 3 + 539 + 9 + 6 + 2 + 6 + 7 + 7 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29547486777600 + 17806509490176 = 5435760^2 + 4219776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47353996267695 and 47353996267704.

It is not an unprimeable number, because it can be changed into a prime (47353996267771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3633385356 + ... + 3633398388.

Almost surely, 2^{47353996267776} is an apocalyptic number.

47353996267776 is the 6881424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47353996267776

47353996267776 is an abundant number, since it is smaller than the sum of its proper divisors (102731251973061).

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

47353996267776 is an frugal number, since it uses more digits than its factorization.

47353996267776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26110 (or 13049 counting only the distinct ones).

The product of its digits is 15122842560, while the sum is 81.

The spelling of 47353996267776 in words is "forty-seven trillion, three hundred fifty-three billion, nine hundred ninety-six million, two hundred sixty-seven thousand, seven hundred seventy-six".