4335493652352 has 384 divisors, whose sum is σ = 13251140622720. Its totient is φ = 1410541516800.

The previous prime is 4335493652351. The next prime is 4335493652377. The reversal of 4335493652352 is 2532563945334.

4335493652352 is a `hidden beast` number, since 4 + 3 + 3 + 5 + 49 + 365 + 235 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4335493652351) 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, 248543343 + ... + 248560785.

It is an arithmetic number, because the mean of its divisors is an integer number (34508178705).

Almost surely, 2^{4335493652352} 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 4335493652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625570311360).

4335493652352 is an abundant number, since it is smaller than the sum of its proper divisors (8915646970368).

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

4335493652352 is a wasteful number, since it uses less digits than its factorization.

4335493652352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17664 (or 17640 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 54.

The spelling of 4335493652352 in words is "four trillion, three hundred thirty-five billion, four hundred ninety-three million, six hundred fifty-two thousand, three hundred fifty-two".