248401150960 has 80 divisors (see below), whose sum is σ = 589882245120. Its totient is φ = 97255952640.

The previous prime is 248401150939. The next prime is 248401150969. The reversal of 248401150960 is 69051104842.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248401150969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632209 + ... + 946831.

It is an arithmetic number, because the mean of its divisors is an integer number (7373528064).

Almost surely, 2^248401150960 is an apocalyptic number.

248401150960 is a gapful number since it is divisible by the number (20) 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 248401150960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294941122560).

248401150960 is an abundant number, since it is smaller than the sum of its proper divisors (341481094160).

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

248401150960 is a wasteful number, since it uses less digits than its factorization.

248401150960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314846 (or 314840 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 248401150960 in words is "two hundred forty-eight billion, four hundred one million, one hundred fifty thousand, nine hundred sixty".