248385142512 has 480 divisors, whose sum is σ = 828826951680. Its totient is φ = 68707491840.

The previous prime is 248385142507. The next prime is 248385142513. The reversal of 248385142512 is 215241583842.

248385142512 is a `hidden beast` number, since 2 + 4 + 8 + 385 + 14 + 251 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248385142513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77935383 + ... + 77938569.

It is an arithmetic number, because the mean of its divisors is an integer number (1726722816).

Almost surely, 2^248385142512 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 248385142512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414413475840).

248385142512 is an abundant number, since it is smaller than the sum of its proper divisors (580441809168).

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

248385142512 is a wasteful number, since it uses less digits than its factorization.

248385142512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3332 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 248385142512 in words is "two hundred forty-eight billion, three hundred eighty-five million, one hundred forty-two thousand, five hundred twelve".