8211688962048 has 768 divisors, whose sum is σ = 28635426892800. Its totient is φ = 2292333281280.

The previous prime is 8211688962047. The next prime is 8211688962049. The reversal of 8211688962048 is 8402698861128.

It is an interprime number because it is at equal distance from previous prime (8211688962047) and next prime (8211688962049).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8211688962047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6302139765 + ... + 6302141067.

It is an arithmetic number, because the mean of its divisors is an integer number (37285712100).

Almost surely, 2^{8211688962048} is an apocalyptic number.

8211688962048 is a gapful number since it is divisible by the number (88) 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 8211688962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317713446400).

8211688962048 is an abundant number, since it is smaller than the sum of its proper divisors (20423737930752).

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

8211688962048 is a wasteful number, since it uses less digits than its factorization.

8211688962048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 8211688962048 in words is "eight trillion, two hundred eleven billion, six hundred eighty-eight million, nine hundred sixty-two thousand, forty-eight".