248149249920 has 1024 divisors, whose sum is σ = 1039346380800. Its totient is φ = 55163289600.

The previous prime is 248149249897. The next prime is 248149249921. The reversal of 248149249920 is 29942941842.

It is a happy number.

248149249920 is a `hidden beast` number, since 2 + 4 + 8 + 149 + 2 + 499 + 2 + 0 = 666.

248149249920 is digitally balanced in base 3, 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248149249921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 575752105 + ... + 575752535.

It is an arithmetic number, because the mean of its divisors is an integer number (1014986700).

Almost surely, 2^248149249920 is an apocalyptic number.

248149249920 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 248149249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519673190400).

248149249920 is an abundant number, since it is smaller than the sum of its proper divisors (791197130880).

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

248149249920 is a wasteful number, since it uses less digits than its factorization.

248149249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 248149249920 in words is "two hundred forty-eight billion, one hundred forty-nine million, two hundred forty-nine thousand, nine hundred twenty".