4608853286976 has 189 divisors, whose sum is σ = 13721984748381. Its totient is φ = 1535820715008.

The previous prime is 4608853286971. The next prime is 4608853286981. The reversal of 4608853286976 is 6796823588064.

The square root of 4608853286976 is 2146824.

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

4608853286976 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 8 + 532 + 86 + 9 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4608853286971) and next prime (4608853286981).

It can be written as a sum of positive squares in only one way, i.e., 4259600654400 + 349252632576 = 2063880^2 + 590976^2 .

It is a super-2 number, since 2×4608853286976² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4608853286971) 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, 1391140296 + ... + 1391143608.

Almost surely, 2^{4608853286976} is an apocalyptic number.

4608853286976 is the 2146824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4608853286976

4608853286976 is an abundant number, since it is smaller than the sum of its proper divisors (9113131461405).

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

4608853286976 is an frugal number, since it uses more digits than its factorization.

4608853286976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 4608853286976 in words is "four trillion, six hundred eight billion, eight hundred fifty-three million, two hundred eighty-six thousand, nine hundred seventy-six".