1054249138584 has 160 divisors (see below), whose sum is σ = 3025865082240. Its totient is φ = 342735321600.

The previous prime is 1054249138577. The next prime is 1054249138589. The reversal of 1054249138584 is 4858319424501.

1054249138584 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 49 + 13 + 8 + 584 = 666.

It is a super-2 number, since 2×1054249138584² (a number of 25 digits) contains 22 as substring.

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 1054249138584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054249138589) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145349902 + ... + 145357154.

It is an arithmetic number, because the mean of its divisors is an integer number (18911656764).

Almost surely, 2^{1054249138584} 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 1054249138584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512932541120).

1054249138584 is an abundant number, since it is smaller than the sum of its proper divisors (1971615943656).

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

1054249138584 is a wasteful number, since it uses less digits than its factorization.

1054249138584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12783 (or 12770 counting only the distinct ones).

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

The spelling of 1054249138584 in words is "one trillion, fifty-four billion, two hundred forty-nine million, one hundred thirty-eight thousand, five hundred eighty-four".