4971341463552 has 720 divisors, whose sum is σ = 15547191791040. Its totient is φ = 1526615506944.

The previous prime is 4971341463551. The next prime is 4971341463581. The reversal of 4971341463552 is 2553641431794.

4971341463552 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 3 + 41 + 46 + 3 + 552 = 666.

It is not an unprimeable number, because it can be changed into a prime (4971341463551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21708914574 + ... + 21708914802.

It is an arithmetic number, because the mean of its divisors is an integer number (21593321932).

Almost surely, 2^{4971341463552} 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 4971341463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7773595895520).

4971341463552 is an abundant number, since it is smaller than the sum of its proper divisors (10575850327488).

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

4971341463552 is a wasteful number, since it uses less digits than its factorization.

4971341463552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 467 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 4971341463552 in words is "four trillion, nine hundred seventy-one billion, three hundred forty-one million, four hundred sixty-three thousand, five hundred fifty-two".