2001365343144 has 48 divisors (see below), whose sum is σ = 5522635509300. Its totient is φ = 654534576384.

The previous prime is 2001365343113. The next prime is 2001365343163. The reversal of 2001365343144 is 4413435631002.

2001365343144 is a `hidden beast` number, since 2 + 0 + 0 + 136 + 53 + 431 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1839631068900 + 161734274244 = 1356330^2 + 402162^2 .

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 = 2001365343099 and 2001365343108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262229589 + ... + 262237220.

Almost surely, 2^{2001365343144} is an apocalyptic number.

2001365343144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001365343144 is an abundant number, since it is smaller than the sum of its proper divisors (3521270166156).

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

2001365343144 is a wasteful number, since it uses less digits than its factorization.

2001365343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524466874 (or 524466867 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2001365343144 in words is "two trillion, one billion, three hundred sixty-five million, three hundred forty-three thousand, one hundred forty-four".