11293648285248 has 560 divisors, whose sum is σ = 40142376659968. Its totient is φ = 3071457792000.

The previous prime is 11293648285229. The next prime is 11293648285319. The reversal of 11293648285248 is 84258284639211.

11293648285248 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 36 + 482 + 85 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68538318 + ... + 68702898.

Almost surely, 2^{11293648285248} is an apocalyptic number.

11293648285248 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 11293648285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071188329984).

11293648285248 is an abundant number, since it is smaller than the sum of its proper divisors (28848728374720).

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

11293648285248 is a wasteful number, since it uses less digits than its factorization.

11293648285248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164704 (or 164685 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 11293648285248 in words is "eleven trillion, two hundred ninety-three billion, six hundred forty-eight million, two hundred eighty-five thousand, two hundred forty-eight".