248097456684 has 432 divisors, whose sum is σ = 843425343488. Its totient is φ = 62355744000.

The previous prime is 248097456661. The next prime is 248097456743. The reversal of 248097456684 is 486654790842.

248097456684 is a `hidden beast` number, since 2 + 480 + 9 + 74 + 5 + 6 + 6 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25516944 + ... + 25526664.

Almost surely, 2^248097456684 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 248097456684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421712671744).

248097456684 is an abundant number, since it is smaller than the sum of its proper divisors (595327886804).

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

248097456684 is a wasteful number, since it uses less digits than its factorization.

248097456684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800 (or 9775 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 248097456684 in words is "two hundred forty-eight billion, ninety-seven million, four hundred fifty-six thousand, six hundred eighty-four".