1049993694864 has 135 divisors (see below), whose sum is σ = 3122167852713. Its totient is φ = 329344206336.

The previous prime is 1049993694859. The next prime is 1049993694941. The reversal of 1049993694864 is 4684963999401.

The square root of 1049993694864 is 1024692.

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

1049993694864 is a `hidden beast` number, since 1 + 0 + 499 + 9 + 36 + 9 + 48 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 817469139600 + 232524555264 = 904140^2 + 482208^2 .

It is a super-2 number, since 2×1049993694864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1049993694792 and 1049993694801.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 209034657 + ... + 209039679.

Almost surely, 2^{1049993694864} is an apocalyptic number.

1049993694864 is the 1024692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049993694864

1049993694864 is an abundant number, since it is smaller than the sum of its proper divisors (2072174157849).

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

1049993694864 is an frugal number, since it uses more digits than its factorization.

1049993694864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10094 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 1049993694864 in words is "one trillion, forty-nine billion, nine hundred ninety-three million, six hundred ninety-four thousand, eight hundred sixty-four".