13474150424000 has 224 divisors, whose sum is σ = 38163931678080. Its totient is φ = 4616288256000.

The previous prime is 13474150423997. The next prime is 13474150424003. The reversal of 13474150424000 is 42405147431.

It is an interprime number because it is at equal distance from previous prime (13474150423997) and next prime (13474150424003).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13474150424003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76127606 + ... + 76304394.

Almost surely, 2^{13474150424000} is an apocalyptic number.

13474150424000 is a gapful number since it is divisible by the number (10) 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 13474150424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19081965839040).

13474150424000 is an abundant number, since it is smaller than the sum of its proper divisors (24689781254080).

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

13474150424000 is a wasteful number, since it uses less digits than its factorization.

13474150424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178184 (or 178164 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 13474150424000 in words is "thirteen trillion, four hundred seventy-four billion, one hundred fifty million, four hundred twenty-four thousand".