4694102896896 has 864 divisors, whose sum is σ = 16426173980160. Its totient is φ = 1334690058240.

The previous prime is 4694102896789. The next prime is 4694102896949. The reversal of 4694102896896 is 6986982014964.

4694102896896 is a `hidden beast` number, since 4 + 69 + 410 + 2 + 8 + 9 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×4694102896896³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10891189801 + ... + 10891190231.

It is an arithmetic number, because the mean of its divisors is an integer number (19011775440).

Almost surely, 2^{4694102896896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4694102896896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213086990080).

4694102896896 is an abundant number, since it is smaller than the sum of its proper divisors (11732071083264).

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

4694102896896 is an frugal number, since it uses more digits than its factorization.

4694102896896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 4694102896896 in words is "four trillion, six hundred ninety-four billion, one hundred two million, eight hundred ninety-six thousand, eight hundred ninety-six".