11434896209088 has 336 divisors, whose sum is σ = 37767497044992. Its totient is φ = 3275354880000.

The previous prime is 11434896209059. The next prime is 11434896209101. The reversal of 11434896209088 is 88090269843411.

11434896209088 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 489 + 62 + 0 + 90 + 8 + 8 = 666.

It is a super-2 number, since 2×11434896209088² (a number of 27 digits) contains 22 as substring.

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, 7768938 + ... + 9122838.

Almost surely, 2^{11434896209088} is an apocalyptic number.

11434896209088 is a gapful number since it is divisible by the number (18) 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 11434896209088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18883748522496).

11434896209088 is an abundant number, since it is smaller than the sum of its proper divisors (26332600835904).

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

11434896209088 is a wasteful number, since it uses less digits than its factorization.

11434896209088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354004 (or 1353991 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 11434896209088 in words is "eleven trillion, four hundred thirty-four billion, eight hundred ninety-six million, two hundred nine thousand, eighty-eight".