11248032522240 has 1344 divisors, whose sum is σ = 42450524468352. Its totient is φ = 2853804441600.

The previous prime is 11248032522193. The next prime is 11248032522271. The reversal of 11248032522240 is 4222523084211.

11248032522240 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 80 + 32 + 522 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11248032522195 and 11248032522204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17547632320 + ... + 17547632960.

It is an arithmetic number, because the mean of its divisors is an integer number (31585211658).

Almost surely, 2^{11248032522240} is an apocalyptic number.

11248032522240 is a gapful number since it is divisible by the number (10) 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 11248032522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225262234176).

11248032522240 is an abundant number, since it is smaller than the sum of its proper divisors (31202491946112).

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

11248032522240 is an frugal number, since it uses more digits than its factorization.

11248032522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 11248032522240 in words is "eleven trillion, two hundred forty-eight billion, thirty-two million, five hundred twenty-two thousand, two hundred forty".