248180499216 has 180 divisors, whose sum is σ = 752682294000. Its totient is φ = 76303948032.

The previous prime is 248180499197. The next prime is 248180499223. The reversal of 248180499216 is 612994081842.

It is a happy number.

248180499216 is a `hidden beast` number, since 248 + 180 + 4 + 9 + 9 + 216 = 666.

It is a super-2 number, since 2×248180499216² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39396835 + ... + 39403133.

It is an arithmetic number, because the mean of its divisors is an integer number (4181568300).

Almost surely, 2^248180499216 is an apocalyptic number.

248180499216 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 248180499216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376341147000).

248180499216 is an abundant number, since it is smaller than the sum of its proper divisors (504501794784).

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

248180499216 is a wasteful number, since it uses less digits than its factorization.

248180499216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7958 (or 7936 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 248180499216 in words is "two hundred forty-eight billion, one hundred eighty million, four hundred ninety-nine thousand, two hundred sixteen".