1011751664 has 100 divisors (see below), whose sum is σ = 2468316720. Its totient is φ = 393550080.

The previous prime is 1011751649. The next prime is 1011751709. The reversal of 1011751664 is 4661571101.

1011751664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1011751664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1639484 + ... + 1640100.

Almost surely, 2^1011751664 is an apocalyptic number.

1011751664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011751664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234158360).

1011751664 is an abundant number, since it is smaller than the sum of its proper divisors (1456565056).

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

1011751664 is an frugal number, since it uses more digits than its factorization.

1011751664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 1011751664 is about 31808.0440140541. The cubic root of 1011751664 is about 1003.9019761127.

The spelling of 1011751664 in words is "one billion, eleven million, seven hundred fifty-one thousand, six hundred sixty-four".