13454414545200 has 240 divisors, whose sum is σ = 43699205071872. Its totient is φ = 3538160000000.

The previous prime is 13454414545163. The next prime is 13454414545207. The reversal of 13454414545200 is 254541445431.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (13454414545207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30200065 + ... + 30642335.

Almost surely, 2^{13454414545200} is an apocalyptic number.

13454414545200 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 13454414545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21849602535936).

13454414545200 is an abundant number, since it is smaller than the sum of its proper divisors (30244790526672).

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

13454414545200 is a wasteful number, since it uses less digits than its factorization.

13454414545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442644 (or 442633 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 13454414545200 in words is "thirteen trillion, four hundred fifty-four billion, four hundred fourteen million, five hundred forty-five thousand, two hundred".