988648222464 has 1728 divisors, whose sum is σ = 3865455820800. Its totient is φ = 247106764800.

The previous prime is 988648222459. The next prime is 988648222483. The reversal of 988648222464 is 464222846889.

988648222464 is a `hidden beast` number, since 98 + 8 + 6 + 4 + 82 + 2 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5176168609 + ... + 5176168799.

It is an arithmetic number, because the mean of its divisors is an integer number (2236953600).

Almost surely, 2^988648222464 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 988648222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932727910400).

988648222464 is an abundant number, since it is smaller than the sum of its proper divisors (2876807598336).

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

988648222464 is a wasteful number, since it uses less digits than its factorization.

988648222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 988648222464 in words is "nine hundred eighty-eight billion, six hundred forty-eight million, two hundred twenty-two thousand, four hundred sixty-four".