11377247017248 has 576 divisors, whose sum is σ = 42170215127040. Its totient is φ = 2830993514496.

The previous prime is 11377247017243. The next prime is 11377247017259. The reversal of 11377247017248 is 84271074277311.

11377247017248 is a `hidden beast` number, since 1 + 1 + 37 + 72 + 470 + 1 + 72 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11377247017194 and 11377247017203.

It is not an unprimeable number, because it can be changed into a prime (11377247017243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27797061 + ... + 28203387.

It is an arithmetic number, because the mean of its divisors is an integer number (73212179040).

Almost surely, 2^{11377247017248} is an apocalyptic number.

11377247017248 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 11377247017248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21085107563520).

11377247017248 is an abundant number, since it is smaller than the sum of its proper divisors (30792968109792).

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

11377247017248 is a wasteful number, since it uses less digits than its factorization.

11377247017248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406429 (or 406418 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 11377247017248 in words is "eleven trillion, three hundred seventy-seven billion, two hundred forty-seven million, seventeen thousand, two hundred forty-eight".