396858586122768 has 960 divisors, whose sum is σ = 1436353667481600. Its totient is φ = 93886797312000.

The previous prime is 396858586122763. The next prime is 396858586122793. The reversal of 396858586122768 is 867221685858693.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (396858586122763) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1049670883 + ... + 1050048893.

It is an arithmetic number, because the mean of its divisors is an integer number (1496201736960).

Almost surely, 2^{396858586122768} 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 396858586122768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718176833740800).

396858586122768 is an abundant number, since it is smaller than the sum of its proper divisors (1039495081358832).

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

396858586122768 is a wasteful number, since it uses less digits than its factorization.

396858586122768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378113 (or 378082 counting only the distinct ones).

The product of its digits is 16721510400, while the sum is 84.

The spelling of 396858586122768 in words is "three hundred ninety-six trillion, eight hundred fifty-eight billion, five hundred eighty-six million, one hundred twenty-two thousand, seven hundred sixty-eight".