1129669632 has 352 divisors, whose sum is σ = 4126752000. Its totient is φ = 297271296.

The previous prime is 1129669627. The next prime is 1129669649. The reversal of 1129669632 is 2369669211.

1129669632 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 6 + 6 + 9 + 632 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515744 + ... + 2516192.

Almost surely, 2^1129669632 is an apocalyptic number.

1129669632 is a gapful number since it is divisible by the number (12) 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 1129669632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063376000).

1129669632 is an abundant number, since it is smaller than the sum of its proper divisors (2997082368).

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

1129669632 is a wasteful number, since it uses less digits than its factorization.

1129669632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1129669632 is about 33610.5583410928. The cubic root of 1129669632 is about 1041.4789215586.

It can be divided in two parts, 1129 and 669632, that added together give a square (670761 = 819²).

The spelling of 1129669632 in words is "one billion, one hundred twenty-nine million, six hundred sixty-nine thousand, six hundred thirty-two".