2001418952832 has 384 divisors, whose sum is σ = 6297906429360. Its totient is φ = 606359126016.

The previous prime is 2001418952749. The next prime is 2001418952861. The reversal of 2001418952832 is 2382598141002.

2001418952832 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 41 + 89 + 528 + 3 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 640985979456 + 1360432973376 = 800616^2 + 1166376^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871317508 + ... + 871319804.

Almost surely, 2^{2001418952832} 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 2001418952832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148953214680).

2001418952832 is an abundant number, since it is smaller than the sum of its proper divisors (4296487476528).

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

2001418952832 is a wasteful number, since it uses less digits than its factorization.

2001418952832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2001418952832 in words is "two trillion, one billion, four hundred eighteen million, nine hundred fifty-two thousand, eight hundred thirty-two".