11400614136432 has 400 divisors, whose sum is σ = 33742908029952. Its totient is φ = 3715113392640.

The previous prime is 11400614136427. The next prime is 11400614136433. The reversal of 11400614136432 is 23463141600411.

11400614136432 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 6 + 1 + 4 + 1 + 3 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400614136433) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12853003093 + ... + 12853003979.

Almost surely, 2^{11400614136432} is an apocalyptic number.

11400614136432 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 11400614136432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16871454014976).

11400614136432 is an abundant number, since it is smaller than the sum of its proper divisors (22342293893520).

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

11400614136432 is a wasteful number, since it uses less digits than its factorization.

11400614136432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 11400614136432 its reverse (23463141600411), we get a palindrome (34863755736843).

The spelling of 11400614136432 in words is "eleven trillion, four hundred billion, six hundred fourteen million, one hundred thirty-six thousand, four hundred thirty-two".