248919108984 has 1152 divisors, whose sum is σ = 929522880000. Its totient is φ = 59915261952.

The previous prime is 248919108937. The next prime is 248919109009. The reversal of 248919108984 is 489801919842.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3409850772 + ... + 3409850844.

It is an arithmetic number, because the mean of its divisors is an integer number (806877500).

Almost surely, 2^248919108984 is an apocalyptic number.

248919108984 is a gapful number since it is divisible by the number (24) 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 248919108984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464761440000).

248919108984 is an abundant number, since it is smaller than the sum of its proper divisors (680603771016).

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

248919108984 is a wasteful number, since it uses less digits than its factorization.

248919108984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 248919108984 in words is "two hundred forty-eight billion, nine hundred nineteen million, one hundred eight thousand, nine hundred eighty-four".