11421077151744 has 896 divisors, whose sum is σ = 38617221216000. Its totient is φ = 3326529503232.

The previous prime is 11421077151721. The next prime is 11421077151749. The reversal of 11421077151744 is 44715177012411.

11421077151744 is a `hidden beast` number, since 1 + 1 + 4 + 21 + 0 + 7 + 71 + 517 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11421077151744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11421077151749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9232883094 + ... + 9232884330.

It is an arithmetic number, because the mean of its divisors is an integer number (43099577250).

Almost surely, 2^{11421077151744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11421077151744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19308610608000).

11421077151744 is an abundant number, since it is smaller than the sum of its proper divisors (27196144064256).

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

11421077151744 is an equidigital number, since it uses as much as digits as its factorization.

11421077151744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 11421077151744 in words is "eleven trillion, four hundred twenty-one billion, seventy-seven million, one hundred fifty-one thousand, seven hundred forty-four".