4980966948864 has 171 divisors, whose sum is σ = 14399342701653. Its totient is φ = 1659179630592.

The previous prime is 4980966948851. The next prime is 4980966948877. The reversal of 4980966948864 is 4688496690894.

The square root of 4980966948864 is 2231808.

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

4980966948864 is a `hidden beast` number, since 49 + 8 + 0 + 96 + 6 + 9 + 488 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4980966948851) and next prime (4980966948877).

It can be written as a sum of positive squares in only one way, i.e., 4858321305600 + 122645643264 = 2204160^2 + 350208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3428056362 + ... + 3428057814.

Almost surely, 2^{4980966948864} is an apocalyptic number.

4980966948864 is the 2231808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4980966948864

4980966948864 is an abundant number, since it is smaller than the sum of its proper divisors (9418375752789).

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

4980966948864 is an frugal number, since it uses more digits than its factorization.

4980966948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 5159780352, while the sum is 81.

Multiplying 4980966948864 by its sum of digits (81), we get a square (403458322857984 = 20086272²).

The spelling of 4980966948864 in words is "four trillion, nine hundred eighty billion, nine hundred sixty-six million, nine hundred forty-eight thousand, eight hundred sixty-four".