143648796672 has 312 divisors, whose sum is σ = 448782399936. Its totient is φ = 44098387968.

The previous prime is 143648796661. The next prime is 143648796679. The reversal of 143648796672 is 276697846341.

It is a happy number.

143648796672 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 487 + 96 + 67 + 2 = 666.

It is a super-3 number, since 3×143648796672³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (143648796679) 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 23 ways as a sum of consecutive naturals, for example, 29451898 + ... + 29456774.

It is an arithmetic number, because the mean of its divisors is an integer number (1438405128).

Almost surely, 2^143648796672 is an apocalyptic number.

143648796672 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 143648796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224391199968).

143648796672 is an abundant number, since it is smaller than the sum of its proper divisors (305133603264).

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

143648796672 is a wasteful number, since it uses less digits than its factorization.

143648796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4946 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 143648796672 in words is "one hundred forty-three billion, six hundred forty-eight million, seven hundred ninety-six thousand, six hundred seventy-two".