11151348848640 has 4608 divisors, whose sum is σ = 55724892088320. Its totient is φ = 2081111408640.

The previous prime is 11151348848623. The next prime is 11151348848671. The reversal of 11151348848640 is 4684884315111.

11151348848640 is a `hidden beast` number, since 1 + 1 + 1 + 51 + 34 + 88 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×11151348848640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 301387806702 + ... + 301387806738.

It is an arithmetic number, because the mean of its divisors is an integer number (12093075540).

Almost surely, 2^{11151348848640} is an apocalyptic number.

11151348848640 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 11151348848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862446044160).

11151348848640 is an abundant number, since it is smaller than the sum of its proper divisors (44573543239680).

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

11151348848640 is an equidigital number, since it uses as much as digits as its factorization.

11151348848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 11151348848640 in words is "eleven trillion, one hundred fifty-one billion, three hundred forty-eight million, eight hundred forty-eight thousand, six hundred forty".