1009886012352 has 168 divisors, whose sum is σ = 3323859556992. Its totient is φ = 287171136000.

The previous prime is 1009886012347. The next prime is 1009886012407. The reversal of 1009886012352 is 2532106889001.

1009886012352 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 8 + 601 + 2 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 1009886012298 and 1009886012307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257227 + ... + 1444277.

Almost surely, 2^{1009886012352} is an apocalyptic number.

1009886012352 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 1009886012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661929778496).

1009886012352 is an abundant number, since it is smaller than the sum of its proper divisors (2313973544640).

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

1009886012352 is a wasteful number, since it uses less digits than its factorization.

1009886012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187287 (or 1187274 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1009886012352 in words is "one trillion, nine billion, eight hundred eighty-six million, twelve thousand, three hundred fifty-two".