1154642598144 has 864 divisors, whose sum is σ = 4341926937600. Its totient is φ = 300429803520.

The previous prime is 1154642598103. The next prime is 1154642598169. The reversal of 1154642598144 is 4418952464511.

It is a happy number.

1154642598144 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 6 + 4 + 2 + 598 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178485342 + ... + 178491810.

It is an arithmetic number, because the mean of its divisors is an integer number (5025378400).

Almost surely, 2^{1154642598144} is an apocalyptic number.

1154642598144 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 1154642598144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170963468800).

1154642598144 is an abundant number, since it is smaller than the sum of its proper divisors (3187284339456).

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

1154642598144 is a wasteful number, since it uses less digits than its factorization.

1154642598144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6529 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 1154642598144 in words is "one trillion, one hundred fifty-four billion, six hundred forty-two million, five hundred ninety-eight thousand, one hundred forty-four".