248767013376 has 1200 divisors, whose sum is σ = 965210320800. Its totient is φ = 63207309312.

The previous prime is 248767013351. The next prime is 248767013431. The reversal of 248767013376 is 673310767842.

248767013376 is a `hidden beast` number, since 2 + 487 + 67 + 0 + 1 + 33 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 656377155 + ... + 656377533.

It is an arithmetic number, because the mean of its divisors is an integer number (804341934).

Almost surely, 2^248767013376 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 248767013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482605160400).

248767013376 is an abundant number, since it is smaller than the sum of its proper divisors (716443307424).

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

248767013376 is a wasteful number, since it uses less digits than its factorization.

248767013376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 248767013376 in words is "two hundred forty-eight billion, seven hundred sixty-seven million, thirteen thousand, three hundred seventy-six".