1000143720648 has 128 divisors (see below), whose sum is σ = 2941302960000. Its totient is φ = 314009001216.

The previous prime is 1000143720647. The next prime is 1000143720671. The reversal of 1000143720648 is 8460273410001.

1000143720648 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 4 + 3 + 7 + 2 + 0 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1000143720647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5658 + ... + 1414326.

It is an arithmetic number, because the mean of its divisors is an integer number (22978929375).

Almost surely, 2^{1000143720648} is an apocalyptic number.

1000143720648 is a gapful number since it is divisible by the number (18) 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 1000143720648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470651480000).

1000143720648 is an abundant number, since it is smaller than the sum of its proper divisors (1941159239352).

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

1000143720648 is a wasteful number, since it uses less digits than its factorization.

1000143720648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408876 (or 1408866 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1000143720648 in words is "one trillion, one hundred forty-three million, seven hundred twenty thousand, six hundred forty-eight".