11077665226848 has 432 divisors, whose sum is σ = 34881952891968. Its totient is φ = 3332148019200.

The previous prime is 11077665226787. The next prime is 11077665226867. The reversal of 11077665226848 is 84862256677011.

11077665226848 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 7 + 6 + 6 + 522 + 68 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5492148336 + ... + 5492150352.

It is an arithmetic number, because the mean of its divisors is an integer number (80745261324).

Almost surely, 2^{11077665226848} is an apocalyptic number.

11077665226848 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 11077665226848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440976445984).

11077665226848 is an abundant number, since it is smaller than the sum of its proper divisors (23804287665120).

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

11077665226848 is a wasteful number, since it uses less digits than its factorization.

11077665226848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 11077665226848 in words is "eleven trillion, seventy-seven billion, six hundred sixty-five million, two hundred twenty-six thousand, eight hundred forty-eight".