248057585776 has 160 divisors (see below), whose sum is σ = 647384564736. Its totient is φ = 88922880000.

The previous prime is 248057585773. The next prime is 248057585807. The reversal of 248057585776 is 677585750842.

It is a super-2 number, since 2×248057585776² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248057585773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4956076 + ... + 5005876.

Almost surely, 2^248057585776 is an apocalyptic number.

248057585776 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 248057585776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323692282368).

248057585776 is an abundant number, since it is smaller than the sum of its proper divisors (399326978960).

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

248057585776 is a wasteful number, since it uses less digits than its factorization.

248057585776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50151 (or 50145 counting only the distinct ones).

The product of its (nonzero) digits is 131712000, while the sum is 64.

The spelling of 248057585776 in words is "two hundred forty-eight billion, fifty-seven million, five hundred eighty-five thousand, seven hundred seventy-six".