1516538031444 has 72 divisors (see below), whose sum is σ = 3897082523880. Its totient is φ = 497127628800.

The previous prime is 1516538031419. The next prime is 1516538031457. The reversal of 1516538031444 is 4441308356151.

It is a happy number.

1516538031444 is a `hidden beast` number, since 1 + 51 + 6 + 53 + 80 + 31 + 444 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 205943516100 + 1310594515344 = 453810^2 + 1144812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1516538031444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11531692 + ... + 11662460.

It is an arithmetic number, because the mean of its divisors is an integer number (54126146165).

Almost surely, 2^{1516538031444} 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 1516538031444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948541261940).

1516538031444 is an abundant number, since it is smaller than the sum of its proper divisors (2380544492436).

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

1516538031444 is a wasteful number, since it uses less digits than its factorization.

1516538031444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136121 (or 136116 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1516538031444 in words is "one trillion, five hundred sixteen billion, five hundred thirty-eight million, thirty-one thousand, four hundred forty-four".