248679986976 has 432 divisors, whose sum is σ = 798350061600. Its totient is φ = 76086190080.

The previous prime is 248679986957. The next prime is 248679986983. The reversal of 248679986976 is 679689976842.

248679986976 is a `hidden beast` number, since 2 + 486 + 7 + 9 + 9 + 8 + 69 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 248679986895 and 248679986904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92136475 + ... + 92139173.

It is an arithmetic number, because the mean of its divisors is an integer number (1848032550).

Almost surely, 2^248679986976 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 248679986976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399175030800).

248679986976 is an abundant number, since it is smaller than the sum of its proper divisors (549670074624).

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

248679986976 is a wasteful number, since it uses less digits than its factorization.

248679986976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2762 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 81.

The spelling of 248679986976 in words is "two hundred forty-eight billion, six hundred seventy-nine million, nine hundred eighty-six thousand, nine hundred seventy-six".