248105385990 has 512 divisors, whose sum is σ = 919384473600. Its totient is φ = 45966735360.

The previous prime is 248105385989. The next prime is 248105386027. The reversal of 248105385990 is 99583501842.

248105385990 is a `hidden beast` number, since 2 + 4 + 8 + 10 + 5 + 38 + 599 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6696697 + ... + 6733643.

It is an arithmetic number, because the mean of its divisors is an integer number (1795672800).

Almost surely, 2^248105385990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248105385990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459692236800).

248105385990 is an abundant number, since it is smaller than the sum of its proper divisors (671279087610).

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

248105385990 is a wasteful number, since it uses less digits than its factorization.

248105385990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37017 (or 37011 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 248105385990 in words is "two hundred forty-eight billion, one hundred five million, three hundred eighty-five thousand, nine hundred ninety".