4682921451264 has 216 divisors, whose sum is σ = 16109158042320. Its totient is φ = 1337977460736.

The previous prime is 4682921451251. The next prime is 4682921451301. The reversal of 4682921451264 is 4621541292864.

4682921451264 is a `hidden beast` number, since 4 + 6 + 82 + 92 + 1 + 451 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4682921451264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6574639 + ... + 7252014.

Almost surely, 2^{4682921451264} is an apocalyptic number.

It is an amenable number.

4682921451264 is an abundant number, since it is smaller than the sum of its proper divisors (11426236591056).

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

4682921451264 is a wasteful number, since it uses less digits than its factorization.

4682921451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13826692 (or 13826665 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 4682921451264 in words is "four trillion, six hundred eighty-two billion, nine hundred twenty-one million, four hundred fifty-one thousand, two hundred sixty-four".