1151211104344 has 128 divisors (see below), whose sum is σ = 2565623808000. Its totient is φ = 474125266944.

The previous prime is 1151211104321. The next prime is 1151211104359. The reversal of 1151211104344 is 4434011121511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27233577 + ... + 27275815.

It is an arithmetic number, because the mean of its divisors is an integer number (20043936000).

Almost surely, 2^{1151211104344} is an apocalyptic number.

1151211104344 is a gapful number since it is divisible by the number (14) 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 1151211104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282811904000).

1151211104344 is an abundant number, since it is smaller than the sum of its proper divisors (1414412703656).

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

1151211104344 is a wasteful number, since it uses less digits than its factorization.

1151211104344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42497 (or 42493 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 1151211104344 its reverse (4434011121511), we get a palindrome (5585222225855).

The spelling of 1151211104344 in words is "one trillion, one hundred fifty-one billion, two hundred eleven million, one hundred four thousand, three hundred forty-four".