1001883738672 has 160 divisors (see below), whose sum is σ = 3050972979200. Its totient is φ = 313892796672.

The previous prime is 1001883738643. The next prime is 1001883738769. The reversal of 1001883738672 is 2768373881001.

1001883738672 is a `hidden beast` number, since 10 + 0 + 188 + 3 + 7 + 386 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561858 + ... + 1522974.

It is an arithmetic number, because the mean of its divisors is an integer number (19068581120).

Almost surely, 2^{1001883738672} is an apocalyptic number.

1001883738672 is a gapful number since it is divisible by the number (12) 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 1001883738672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525486489600).

1001883738672 is an abundant number, since it is smaller than the sum of its proper divisors (2049089240528).

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

1001883738672 is a wasteful number, since it uses less digits than its factorization.

1001883738672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961280 (or 961268 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1001883738672 in words is "one trillion, one billion, eight hundred eighty-three million, seven hundred thirty-eight thousand, six hundred seventy-two".