696928082406144 has 144 divisors (see below), whose sum is σ = 1866305767536000. Its totient is φ = 230875496644608.

The previous prime is 696928082406131. The next prime is 696928082406161. The reversal of 696928082406144 is 441604280829696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232072992 + ... + 235056864.

It is an arithmetic number, because the mean of its divisors is an integer number (12960456719000).

Almost surely, 2^{696928082406144} is an apocalyptic number.

696928082406144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 696928082406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933152883768000).

696928082406144 is an abundant number, since it is smaller than the sum of its proper divisors (1169377685129856).

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

696928082406144 is a wasteful number, since it uses less digits than its factorization.

696928082406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985770 (or 2985756 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 69.

The spelling of 696928082406144 in words is "six hundred ninety-six trillion, nine hundred twenty-eight billion, eighty-two million, four hundred six thousand, one hundred forty-four".