11501135002434 has 256 divisors, whose sum is σ = 29587783680000. Its totient is φ = 2954276216640.

The previous prime is 11501135002363. The next prime is 11501135002477. The reversal of 11501135002434 is 43420053110511.

It is a super-3 number, since 3×11501135002434³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1956305107 + ... + 1956310985.

It is an arithmetic number, because the mean of its divisors is an integer number (115577280000).

Almost surely, 2^{11501135002434} is an apocalyptic number.

11501135002434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11501135002434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793891840000).

11501135002434 is an abundant number, since it is smaller than the sum of its proper divisors (18086648677566).

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

11501135002434 is a wasteful number, since it uses less digits than its factorization.

11501135002434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11501135002434 its reverse (43420053110511), we get a palindrome (54921188112945).

The spelling of 11501135002434 in words is "eleven trillion, five hundred one billion, one hundred thirty-five million, two thousand, four hundred thirty-four".