1003619268864 has 243 divisors, whose sum is σ = 3008716809553. Its totient is φ = 334106975232.

The previous prime is 1003619268853. The next prime is 1003619268887. The reversal of 1003619268864 is 4688629163001.

The square root of 1003619268864 is 1001808.

It is a perfect power (a square), and thus also a powerful number.

1003619268864 is a `hidden beast` number, since 10 + 0 + 3 + 619 + 2 + 6 + 8 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63867398400 + 939751870464 = 252720^2 + 969408^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003619268864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1298342782 + ... + 1298343554.

Almost surely, 2^{1003619268864} is an apocalyptic number.

1003619268864 is the 1001808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003619268864

1003619268864 is an abundant number, since it is smaller than the sum of its proper divisors (2005097540689).

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

1003619268864 is an frugal number, since it uses more digits than its factorization.

1003619268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1003619268864 in words is "one trillion, three billion, six hundred nineteen million, two hundred sixty-eight thousand, eight hundred sixty-four".