248042025294336 has 3600 divisors, whose sum is σ = 1011621697067520. Its totient is φ = 59903974932480.

The previous prime is 248042025294299. The next prime is 248042025294341. The reversal of 248042025294336 is 633492520240842.

248042025294336 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 42 + 0 + 2 + 529 + 43 + 36 = 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 359 ways as a sum of consecutive naturals, for example, 295640077405 + ... + 295640078243.

Almost surely, 2^{248042025294336} is an apocalyptic number.

248042025294336 is a gapful number since it is divisible by the number (26) 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 248042025294336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505810848533760).

248042025294336 is an abundant number, since it is smaller than the sum of its proper divisors (763579671773184).

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

248042025294336 is a wasteful number, since it uses less digits than its factorization.

248042025294336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 248042025294336 in words is "two hundred forty-eight trillion, forty-two billion, twenty-five million, two hundred ninety-four thousand, three hundred thirty-six".