4148831232 has 704 divisors, whose sum is σ = 16176867840. Its totient is φ = 1019215872.

The previous prime is 4148831231. The next prime is 4148831233. The reversal of 4148831232 is 2321388414.

It is a happy number.

4148831232 is a `hidden beast` number, since 414 + 8 + 8 + 3 + 1 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (4148831231) and next prime (4148831233).

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 not an unprimeable number, because it can be changed into a prime (4148831231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42771408 + ... + 42771504.

Almost surely, 2^4148831232 is an apocalyptic number.

4148831232 is a gapful number since it is divisible by the number (42) 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 4148831232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8088433920).

4148831232 is an abundant number, since it is smaller than the sum of its proper divisors (12028036608).

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

4148831232 is a wasteful number, since it uses less digits than its factorization.

4148831232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4148831232 is about 64411.4215958629. The cubic root of 4148831232 is about 1606.8497008199.

The spelling of 4148831232 in words is "four billion, one hundred forty-eight million, eight hundred thirty-one thousand, two hundred thirty-two".