143948048832 has 224 divisors, whose sum is σ = 486608729600. Its totient is φ = 40875134976.

The previous prime is 143948048831. The next prime is 143948048863. The reversal of 143948048832 is 238840849341.

143948048832 is a `hidden beast` number, since 1 + 43 + 9 + 480 + 48 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143948048831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935144 + ... + 2008152.

It is an arithmetic number, because the mean of its divisors is an integer number (2172360400).

Almost surely, 2^143948048832 is an apocalyptic number.

143948048832 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 143948048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243304364800).

143948048832 is an abundant number, since it is smaller than the sum of its proper divisors (342660680768).

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

143948048832 is a wasteful number, since it uses less digits than its factorization.

143948048832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73200 (or 73184 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 143948048832 in words is "one hundred forty-three billion, nine hundred forty-eight million, forty-eight thousand, eight hundred thirty-two".