248714555520 has 128 divisors (see below), whose sum is σ = 793636704000. Its totient is φ = 66252013568.

The previous prime is 248714555503. The next prime is 248714555543. The reversal of 248714555520 is 25555417842.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×248714555520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 248714555520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713961 + ... + 1853399.

It is an arithmetic number, because the mean of its divisors is an integer number (6200286750).

Almost surely, 2^248714555520 is an apocalyptic number.

248714555520 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 248714555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396818352000).

248714555520 is an abundant number, since it is smaller than the sum of its proper divisors (544922148480).

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

248714555520 is a wasteful number, since it uses less digits than its factorization.

248714555520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140390 (or 140378 counting only the distinct ones).

The product of its (nonzero) digits is 2240000, while the sum is 48.

The spelling of 248714555520 in words is "two hundred forty-eight billion, seven hundred fourteen million, five hundred fifty-five thousand, five hundred twenty".