10143781632 has 180 divisors, whose sum is σ = 31563488880. Its totient is φ = 3234097152.

The previous prime is 10143781597. The next prime is 10143781643. The reversal of 10143781632 is 23618734101.

It is a happy number.

10143781632 is a `hidden beast` number, since 1 + 0 + 14 + 3 + 7 + 8 + 1 + 632 = 666.

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 19 ways as a sum of consecutive naturals, for example, 466294 + ... + 487562.

It is an arithmetic number, because the mean of its divisors is an integer number (175352716).

Almost surely, 2^10143781632 is an apocalyptic number.

10143781632 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 10143781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781744440).

10143781632 is an abundant number, since it is smaller than the sum of its proper divisors (21419707248).

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

10143781632 is an equidigital number, since it uses as much as digits as its factorization.

10143781632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21320 (or 21297 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10143781632 in words is "ten billion, one hundred forty-three million, seven hundred eighty-one thousand, six hundred thirty-two".