1151881632 has 288 divisors, whose sum is σ = 3800369664. Its totient is φ = 327628800.

The previous prime is 1151881579. The next prime is 1151881637. The reversal of 1151881632 is 2361881511.

1151881632 is a `hidden beast` number, since 1 + 1 + 5 + 18 + 8 + 1 + 632 = 666.

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 not an unprimeable number, because it can be changed into a prime (1151881637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3633538 + ... + 3633854.

It is an arithmetic number, because the mean of its divisors is an integer number (13195728).

Almost surely, 2^1151881632 is an apocalyptic number.

1151881632 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 1151881632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900184832).

1151881632 is an abundant number, since it is smaller than the sum of its proper divisors (2648488032).

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

1151881632 is a wasteful number, since it uses less digits than its factorization.

1151881632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1151881632 is about 33939.3817268376. The cubic root of 1151881632 is about 1048.2606522967.

The spelling of 1151881632 in words is "one billion, one hundred fifty-one million, eight hundred eighty-one thousand, six hundred thirty-two".