1004155051016 has 144 divisors (see below), whose sum is σ = 2075732711100. Its totient is φ = 455186055168.

The previous prime is 1004155050973. The next prime is 1004155051019. The reversal of 1004155051016 is 6101505514001.

It can be written as a sum of positive squares in 18 ways, for example, as 107433172900 + 896721878116 = 327770^2 + 946954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1004155051016.

It is not an unprimeable number, because it can be changed into a prime (1004155051019) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2455146620 + ... + 2455147028.

Almost surely, 2^{1004155051016} 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 1004155051016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037866355550).

1004155051016 is an abundant number, since it is smaller than the sum of its proper divisors (1071577660084).

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

1004155051016 is a wasteful number, since it uses less digits than its factorization.

1004155051016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 29.

The spelling of 1004155051016 in words is "one trillion, four billion, one hundred fifty-five million, fifty-one thousand, sixteen".