1151345664 has 264 divisors, whose sum is σ = 3946091968. Its totient is φ = 328458240.

The previous prime is 1151345651. The next prime is 1151345677. The reversal of 1151345664 is 4665431511.

1151345664 is a `hidden beast` number, since 11 + 51 + 34 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1151345651) and next prime (1151345677).

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, 1741494 + ... + 1742154.

Almost surely, 2^1151345664 is an apocalyptic number.

1151345664 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 1151345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973045984).

1151345664 is an abundant number, since it is smaller than the sum of its proper divisors (2794746304).

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

1151345664 is an frugal number, since it uses more digits than its factorization.

1151345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 673 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1151345664 is about 33931.4848481466. The cubic root of 1151345664 is about 1048.0980426117.

The spelling of 1151345664 in words is "one billion, one hundred fifty-one million, three hundred forty-five thousand, six hundred sixty-four".