248045249088 has 672 divisors, whose sum is σ = 908098394112. Its totient is φ = 62971084800.

The previous prime is 248045249063. The next prime is 248045249141. The reversal of 248045249088 is 880942540842.

248045249088 is a `hidden beast` number, since 2 + 480 + 45 + 2 + 49 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×248045249088³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476094268 + ... + 476094788.

It is an arithmetic number, because the mean of its divisors is an integer number (1351336896).

Almost surely, 2^248045249088 is an apocalyptic number.

248045249088 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 248045249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454049197056).

248045249088 is an abundant number, since it is smaller than the sum of its proper divisors (660053145024).

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

248045249088 is a wasteful number, since it uses less digits than its factorization.

248045249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 248045249088 in words is "two hundred forty-eight billion, forty-five million, two hundred forty-nine thousand, eighty-eight".