1147121664 has 208 divisors, whose sum is σ = 3390680832. Its totient is φ = 342687744.

The previous prime is 1147121627. The next prime is 1147121671. The reversal of 1147121664 is 4661217411.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×1147121664² = 2631776224036257792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6868909 + ... + 6869075.

Almost surely, 2^1147121664 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 1147121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695340416).

1147121664 is an abundant number, since it is smaller than the sum of its proper divisors (2243559168).

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

1147121664 is a wasteful number, since it uses less digits than its factorization.

1147121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 1147121664 is about 33869.1845783154. The cubic root of 1147121664 is about 1046.8147352064.

The spelling of 1147121664 in words is "one billion, one hundred forty-seven million, one hundred twenty-one thousand, six hundred sixty-four".