1132193664 has 96 divisors (see below), whose sum is σ = 3723461040. Its totient is φ = 323481600.

The previous prime is 1132193663. The next prime is 1132193683. The reversal of 1132193664 is 4663912311.

1132193664 = T₁₀₂ + T₁₀₃ + ... + T₁₈₉₃.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132193663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62137 + ... + 78264.

Almost surely, 2^1132193664 is an apocalyptic number.

1132193664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1132193664 is an abundant number, since it is smaller than the sum of its proper divisors (2591267376).

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

1132193664 is a wasteful number, since it uses less digits than its factorization.

1132193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140428 (or 140413 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1132193664 is about 33648.0855919026. The cubic root of 1132193664 is about 1042.2540067933.

The spelling of 1132193664 in words is "one billion, one hundred thirty-two million, one hundred ninety-three thousand, six hundred sixty-four".