1088799342336 has 576 divisors, whose sum is σ = 3456263372800. Its totient is φ = 337105649664.

The previous prime is 1088799342313. The next prime is 1088799342359. The reversal of 1088799342336 is 6332439978801.

1088799342336 is a `hidden beast` number, since 10 + 8 + 87 + 9 + 93 + 423 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (1088799342313) and next prime (1088799342359).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1088799342336² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1617829296 + ... + 1617829968.

Almost surely, 2^{1088799342336} is an apocalyptic number.

1088799342336 is a gapful number since it is divisible by the number (16) 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 1088799342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728131686400).

1088799342336 is an abundant number, since it is smaller than the sum of its proper divisors (2367464030464).

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

1088799342336 is a wasteful number, since it uses less digits than its factorization.

1088799342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 1088799342336 in words is "one trillion, eighty-eight billion, seven hundred ninety-nine million, three hundred forty-two thousand, three hundred thirty-six".