11120454634432 has 448 divisors, whose sum is σ = 27496239160320. Its totient is φ = 4390391808000.

The previous prime is 11120454634427. The next prime is 11120454634517. The reversal of 11120454634432 is 23443645402111.

It is a super-2 number, since 2×11120454634432² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3465394044 + ... + 3465397252.

It is an arithmetic number, because the mean of its divisors is an integer number (61375533840).

Almost surely, 2^{11120454634432} 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 11120454634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13748119580160).

11120454634432 is an abundant number, since it is smaller than the sum of its proper divisors (16375784525888).

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

11120454634432 is a wasteful number, since it uses less digits than its factorization.

11120454634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 11120454634432 in words is "eleven trillion, one hundred twenty billion, four hundred fifty-four million, six hundred thirty-four thousand, four hundred thirty-two".