11278662048 has 384 divisors, whose sum is σ = 36771840000. Its totient is φ = 3348034560.

The previous prime is 11278662047. The next prime is 11278662061. The reversal of 11278662048 is 84026687211.

11278662048 is a `hidden beast` number, since 1 + 12 + 7 + 8 + 6 + 620 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11278661994 and 11278662012.

It is not an unprimeable number, because it can be changed into a prime (11278662047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18828853 + ... + 18829451.

It is an arithmetic number, because the mean of its divisors is an integer number (95760000).

Almost surely, 2^11278662048 is an apocalyptic number.

11278662048 is a gapful number since it is divisible by the number (18) 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 11278662048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920000).

11278662048 is an abundant number, since it is smaller than the sum of its proper divisors (25493177952).

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

11278662048 is a wasteful number, since it uses less digits than its factorization.

11278662048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11278662048 in words is "eleven billion, two hundred seventy-eight million, six hundred sixty-two thousand, forty-eight".