1154411655168 has 208 divisors, whose sum is σ = 3155154327936. Its totient is φ = 375280435200.

The previous prime is 1154411655143. The next prime is 1154411655169. The reversal of 1154411655168 is 8615561144511.

It is a super-2 number, since 2×1154411655168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154411655169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83145955 + ... + 83159837.

It is an arithmetic number, because the mean of its divisors is an integer number (15169011192).

Almost surely, 2^{1154411655168} 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 1154411655168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577577163968).

1154411655168 is an abundant number, since it is smaller than the sum of its proper divisors (2000742672768).

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

1154411655168 is a wasteful number, since it uses less digits than its factorization.

1154411655168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14078 (or 14056 counting only the distinct ones).

The product of its digits is 576000, while the sum is 48.

Adding to 1154411655168 its reverse (8615561144511), we get a palindrome (9769972799679).

The spelling of 1154411655168 in words is "one trillion, one hundred fifty-four billion, four hundred eleven million, six hundred fifty-five thousand, one hundred sixty-eight".