248739854016 has 112 divisors (see below), whose sum is σ = 693170226560. Its totient is φ = 78503178240.

The previous prime is 248739853963. The next prime is 248739854039. The reversal of 248739854016 is 610458937842.

It is a happy number.

248739854016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6463311 + ... + 6501681.

It is an arithmetic number, because the mean of its divisors is an integer number (6189019880).

It is a 1-persistent number, because it is pandigital, but 2⋅248739854016 = 497479708032 is not.

Almost surely, 2^248739854016 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 248739854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346585113280).

248739854016 is an abundant number, since it is smaller than the sum of its proper divisors (444430372544).

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

248739854016 is a wasteful number, since it uses less digits than its factorization.

248739854016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40182 (or 40172 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 248739854016 in words is "two hundred forty-eight billion, seven hundred thirty-nine million, eight hundred fifty-four thousand, sixteen".