248323624560 has 720 divisors, whose sum is σ = 956832196320. Its totient is φ = 59806771200.

The previous prime is 248323624547. The next prime is 248323624573. The reversal of 248323624560 is 65426323842.

248323624560 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 23 + 62 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (248323624547) and next prime (248323624573).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 538662730 + ... + 538663190.

It is an arithmetic number, because the mean of its divisors is an integer number (1328933606).

Almost surely, 2^248323624560 is an apocalyptic number.

248323624560 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 248323624560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478416098160).

248323624560 is an abundant number, since it is smaller than the sum of its proper divisors (708508571760).

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

248323624560 is a wasteful number, since it uses less digits than its factorization.

248323624560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 248323624560 in words is "two hundred forty-eight billion, three hundred twenty-three million, six hundred twenty-four thousand, five hundred sixty".