1001356506144 has 144 divisors (see below), whose sum is σ = 2920970052000. Its totient is φ = 325224281088.

The previous prime is 1001356506091. The next prime is 1001356506203. The reversal of 1001356506144 is 4416056531001.

1001356506144 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 5 + 6 + 506 + 144 = 666.

1001356506144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1001356506099 and 1001356506108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4966207 + ... + 5163905.

It is an arithmetic number, because the mean of its divisors is an integer number (20284514250).

Almost surely, 2^{1001356506144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001356506144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460485026000).

1001356506144 is an abundant number, since it is smaller than the sum of its proper divisors (1919613545856).

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

1001356506144 is a wasteful number, since it uses less digits than its factorization.

1001356506144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198167 (or 198156 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1001356506144 in words is "one trillion, one billion, three hundred fifty-six million, five hundred six thousand, one hundred forty-four".