248896082631168 has 1600 divisors, whose sum is σ = 899975723581440. Its totient is φ = 67829994086400.

The previous prime is 248896082631107. The next prime is 248896082631169. The reversal of 248896082631168 is 861136280698842.

248896082631168 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 9 + 608 + 2 + 6 + 3 + 1 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 248896082631096 and 248896082631105.

It is not an unprimeable number, because it can be changed into a prime (248896082631169) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73054322521 + ... + 73054325927.

Almost surely, 2^{248896082631168} is an apocalyptic number.

248896082631168 is a gapful number since it is divisible by the number (28) 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 248896082631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449987861790720).

248896082631168 is an abundant number, since it is smaller than the sum of its proper divisors (651079640950272).

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

248896082631168 is an frugal number, since it uses more digits than its factorization.

248896082631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 248896082631168 in words is "two hundred forty-eight trillion, eight hundred ninety-six billion, eighty-two million, six hundred thirty-one thousand, one hundred sixty-eight".