2858934401664 has 64 divisors (see below), whose sum is σ = 8284412198880. Its totient is φ = 866343756800.

The previous prime is 2858934401651. The next prime is 2858934401677. The reversal of 2858934401664 is 4661044398582.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2858934401651) and next prime (2858934401677).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2858934401598 and 2858934401607.

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 7 ways as a sum of consecutive naturals, for example, 338411307 + ... + 338419754.

Almost surely, 2^{2858934401664} is an apocalyptic number.

2858934401664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2858934401664 is an abundant number, since it is smaller than the sum of its proper divisors (5425477797216).

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

2858934401664 is a wasteful number, since it uses less digits than its factorization.

2858934401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676831089 (or 676831077 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 2858934401664 in words is "two trillion, eight hundred fifty-eight billion, nine hundred thirty-four million, four hundred one thousand, six hundred sixty-four".