248138403012864 has 3456 divisors, whose sum is σ = 963544051491840. Its totient is φ = 59673050873856.

The previous prime is 248138403012859. The next prime is 248138403012937. The reversal of 248138403012864 is 468210304831842.

248138403012864 is a `hidden beast` number, since 2 + 4 + 8 + 13 + 8 + 40 + 301 + 286 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 248138403012864.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1811229219004 + ... + 1811229219140.

It is an arithmetic number, because the mean of its divisors is an integer number (278803255640).

Almost surely, 2^{248138403012864} is an apocalyptic number.

248138403012864 is a gapful number since it is divisible by the number (24) 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 248138403012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481772025745920).

248138403012864 is an abundant number, since it is smaller than the sum of its proper divisors (715405648478976).

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

248138403012864 is a wasteful number, since it uses less digits than its factorization.

248138403012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 248138403012864 in words is "two hundred forty-eight trillion, one hundred thirty-eight billion, four hundred three million, twelve thousand, eight hundred sixty-four".