1141765632 has 560 divisors, whose sum is σ = 4293653760. Its totient is φ = 295612416.

The previous prime is 1141765631. The next prime is 1141765637. The reversal of 1141765632 is 2365671411.

1141765632 is a `hidden beast` number, since 1 + 1 + 4 + 17 + 6 + 5 + 632 = 666.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141765631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 49641973 + ... + 49641995.

Almost surely, 2^1141765632 is an apocalyptic number.

1141765632 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 1141765632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146826880).

1141765632 is an abundant number, since it is smaller than the sum of its proper divisors (3151888128).

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

1141765632 is an frugal number, since it uses more digits than its factorization.

1141765632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1141765632 is about 33790.0226694212. The cubic root of 1141765632 is about 1045.1829634693.

The spelling of 1141765632 in words is "one billion, one hundred forty-one million, seven hundred sixty-five thousand, six hundred thirty-two".