1157105664 has 288 divisors, whose sum is σ = 3935131200. Its totient is φ = 322928640.

The previous prime is 1157105657. The next prime is 1157105683. The reversal of 1157105664 is 4665017511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2635557 + ... + 2635995.

It is an arithmetic number, because the mean of its divisors is an integer number (13663650).

Almost surely, 2^1157105664 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 1157105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967565600).

1157105664 is an abundant number, since it is smaller than the sum of its proper divisors (2778025536).

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

1157105664 is a wasteful number, since it uses less digits than its factorization.

1157105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1157105664 is about 34016.2558786237. The cubic root of 1157105664 is about 1049.8429588265.

The spelling of 1157105664 in words is "one billion, one hundred fifty-seven million, one hundred five thousand, six hundred sixty-four".