1155417854544 has 320 divisors, whose sum is σ = 3412249300480. Its totient is φ = 374203514880.

The previous prime is 1155417854467. The next prime is 1155417854593. The reversal of 1155417854544 is 4454587145511.

It is a happy number.

1155417854544 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 4 + 17 + 85 + 4 + 544 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 798491229 + ... + 798492675.

It is an arithmetic number, because the mean of its divisors is an integer number (10663279064).

Almost surely, 2^{1155417854544} 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 1155417854544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706124650240).

1155417854544 is an abundant number, since it is smaller than the sum of its proper divisors (2256831445936).

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

1155417854544 is a wasteful number, since it uses less digits than its factorization.

1155417854544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1863 counting only the distinct ones).

The product of its digits is 8960000, while the sum is 54.

The spelling of 1155417854544 in words is "one trillion, one hundred fifty-five billion, four hundred seventeen million, eight hundred fifty-four thousand, five hundred forty-four".