4566951583968 has 96 divisors (see below), whose sum is σ = 12028982166432. Its totient is φ = 1517152716800.

The previous prime is 4566951583919. The next prime is 4566951583973. The reversal of 4566951583968 is 8693851596654.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4566951583968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36271330 + ... + 36397022.

It is an arithmetic number, because the mean of its divisors is an integer number (125301897567).

Almost surely, 2^{4566951583968} is an apocalyptic number.

4566951583968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4566951583968 is an abundant number, since it is smaller than the sum of its proper divisors (7462030582464).

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

4566951583968 is a wasteful number, since it uses less digits than its factorization.

4566951583968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126988 (or 126980 counting only the distinct ones).

The product of its digits is 1679616000, while the sum is 75.

The spelling of 4566951583968 in words is "four trillion, five hundred sixty-six billion, nine hundred fifty-one million, five hundred eighty-three thousand, nine hundred sixty-eight".