4709248532064 has 288 divisors, whose sum is σ = 14123764156320. Its totient is φ = 1486111850496.

The previous prime is 4709248532059. The next prime is 4709248532099. The reversal of 4709248532064 is 4602358429074.

It is a happy number.

4709248532064 is a `hidden beast` number, since 4 + 7 + 0 + 9 + 2 + 48 + 532 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4709248532064² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4709248532064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424022699 + ... + 1424026005.

It is an arithmetic number, because the mean of its divisors is an integer number (49040847765).

Almost surely, 2^{4709248532064} 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 4709248532064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061882078160).

4709248532064 is an abundant number, since it is smaller than the sum of its proper divisors (9414515624256).

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

4709248532064 is a wasteful number, since it uses less digits than its factorization.

4709248532064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4709248532064 in words is "four trillion, seven hundred nine billion, two hundred forty-eight million, five hundred thirty-two thousand, sixty-four".