1014492128544 has 72 divisors (see below), whose sum is σ = 2885075919180. Its totient is φ = 338150688768.

The previous prime is 1014492128473. The next prime is 1014492128567. The reversal of 1014492128544 is 4458212944101.

1014492128544 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 92 + 12 + 8 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1014492128400 + 144 = 1007220^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1014492128544.

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 11 ways as a sum of consecutive naturals, for example, 9534324 + ... + 9640140.

Almost surely, 2^{1014492128544} is an apocalyptic number.

It is an amenable number.

1014492128544 is an abundant number, since it is smaller than the sum of its proper divisors (1870583790636).

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

1014492128544 is a wasteful number, since it uses less digits than its factorization.

1014492128544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139122 (or 139111 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1014492128544 in words is "one trillion, fourteen billion, four hundred ninety-two million, one hundred twenty-eight thousand, five hundred forty-four".