1154444100160 has 224 divisors, whose sum is σ = 3138578513280. Its totient is φ = 400676978688.

The previous prime is 1154444100151. The next prime is 1154444100233. The reversal of 1154444100160 is 610014444511.

It is a happy number.

It is a super-4 number, since 4×1154444100160⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 58475571 + ... + 58495309.

It is an arithmetic number, because the mean of its divisors is an integer number (14011511220).

Almost surely, 2^{1154444100160} is an apocalyptic number.

1154444100160 is a gapful number since it is divisible by the number (10) 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 1154444100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569289256640).

1154444100160 is an abundant number, since it is smaller than the sum of its proper divisors (1984134413120).

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

1154444100160 is a wasteful number, since it uses less digits than its factorization.

1154444100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20613 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 1154444100160 its reverse (610014444511), we get a palindrome (1764458544671).

The spelling of 1154444100160 in words is "one trillion, one hundred fifty-four billion, four hundred forty-four million, one hundred thousand, one hundred sixty".