2001383451648 has 352 divisors, whose sum is σ = 6939105976320. Its totient is φ = 557874708480.

The previous prime is 2001383451623. The next prime is 2001383451677. The reversal of 2001383451648 is 8461543831002.

2001383451648 is a `hidden beast` number, since 2 + 0 + 0 + 13 + 83 + 4 + 516 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7808865 + ... + 8061087.

Almost surely, 2^{2001383451648} is an apocalyptic number.

2001383451648 is a gapful number since it is divisible by the number (28) 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 2001383451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469552988160).

2001383451648 is an abundant number, since it is smaller than the sum of its proper divisors (4937722524672).

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

2001383451648 is a wasteful number, since it uses less digits than its factorization.

2001383451648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252300 (or 252276 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2001383451648 in words is "two trillion, one billion, three hundred eighty-three million, four hundred fifty-one thousand, six hundred forty-eight".