13954524345216 has 2304 divisors, whose sum is σ = 56823376296960. Its totient is φ = 3306129260544.

The previous prime is 13954524345119. The next prime is 13954524345217. The reversal of 13954524345216 is 61254342545931.

13954524345216 is a `hidden beast` number, since 1 + 3 + 9 + 54 + 524 + 3 + 4 + 52 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13954524345217) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29881208215 + ... + 29881208681.

It is an arithmetic number, because the mean of its divisors is an integer number (24662923740).

Almost surely, 2^{13954524345216} is an apocalyptic number.

13954524345216 is a gapful number since it is divisible by the number (16) 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 13954524345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28411688148480).

13954524345216 is an abundant number, since it is smaller than the sum of its proper divisors (42868851951744).

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

13954524345216 is an equidigital number, since it uses as much as digits as its factorization.

13954524345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 532 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 13954524345216 in words is "thirteen trillion, nine hundred fifty-four billion, five hundred twenty-four million, three hundred forty-five thousand, two hundred sixteen".