1154272074984 has 512 divisors, whose sum is σ = 4015551283200. Its totient is φ = 299593728000.

The previous prime is 1154272074931. The next prime is 1154272075003. The reversal of 1154272074984 is 4894702724511.

It is a happy number.

1154272074984 is a `hidden beast` number, since 1 + 1 + 5 + 427 + 207 + 4 + 9 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1154272074984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 343429464 + ... + 343432824.

It is an arithmetic number, because the mean of its divisors is an integer number (7842873600).

Almost surely, 2^{1154272074984} is an apocalyptic number.

1154272074984 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 1154272074984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007775641600).

1154272074984 is an abundant number, since it is smaller than the sum of its proper divisors (2861279208216).

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

1154272074984 is a wasteful number, since it uses less digits than its factorization.

1154272074984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1154272074984 in words is "one trillion, one hundred fifty-four billion, two hundred seventy-two million, seventy-four thousand, nine hundred eighty-four".