13836456594450 has 192 divisors, whose sum is σ = 43578565079040. Its totient is φ = 3162276936000.

The previous prime is 13836456594437. The next prime is 13836456594473. The reversal of 13836456594450 is 5449565463831.

13836456594450 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 64 + 565 + 9 + 4 + 4 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93206785 + ... + 93355115.

It is an arithmetic number, because the mean of its divisors is an integer number (226971693120).

Almost surely, 2^{13836456594450} is an apocalyptic number.

13836456594450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13836456594450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21789282539520).

13836456594450 is an abundant number, since it is smaller than the sum of its proper divisors (29742108484590).

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

13836456594450 is a wasteful number, since it uses less digits than its factorization.

13836456594450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158230 (or 158219 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 13836456594450 in words is "thirteen trillion, eight hundred thirty-six billion, four hundred fifty-six million, five hundred ninety-four thousand, four hundred fifty".