14936136133632 has 528 divisors, whose sum is σ = 46744333021440. Its totient is φ = 4227600384000.

The previous prime is 14936136133559. The next prime is 14936136133643. The reversal of 14936136133632 is 23633163163941.

It is a super-2 number, since 2×14936136133632² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11569430907 + ... + 11569432197.

Almost surely, 2^{14936136133632} is an apocalyptic number.

14936136133632 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 14936136133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372166510720).

14936136133632 is an abundant number, since it is smaller than the sum of its proper divisors (31808196887808).

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

14936136133632 is a wasteful number, since it uses less digits than its factorization.

14936136133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1963 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 51.

The spelling of 14936136133632 in words is "fourteen trillion, nine hundred thirty-six billion, one hundred thirty-six million, one hundred thirty-three thousand, six hundred thirty-two".