13946420505600 has 2376 divisors, whose sum is σ = 59904215173040. Its totient is φ = 3176556134400.

The previous prime is 13946420505553. The next prime is 13946420505613. The reversal of 13946420505600 is 650502464931.

13946420505600 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 64 + 20 + 5 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 24170572512 + ... + 24170573088.

Almost surely, 2^{13946420505600} is an apocalyptic number.

13946420505600 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 13946420505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29952107586520).

13946420505600 is an abundant number, since it is smaller than the sum of its proper divisors (45957794667440).

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

13946420505600 is a wasteful number, since it uses less digits than its factorization.

13946420505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13946420505600 in words is "thirteen trillion, nine hundred forty-six billion, four hundred twenty million, five hundred five thousand, six hundred".