13999507774272 has 392 divisors, whose sum is σ = 42345572611200. Its totient is φ = 4589194641408.

The previous prime is 13999507774243. The next prime is 13999507774313. The reversal of 13999507774272 is 27247770599931.

13999507774272 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 9 + 507 + 7 + 7 + 42 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 13999507774272.

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 55 ways as a sum of consecutive naturals, for example, 947249379 + ... + 947264157.

Almost surely, 2^{13999507774272} is an apocalyptic number.

13999507774272 is a gapful number since it is divisible by the number (12) 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 13999507774272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21172786305600).

13999507774272 is an abundant number, since it is smaller than the sum of its proper divisors (28346064836928).

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

13999507774272 is an equidigital number, since it uses as much as digits as its factorization.

13999507774272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15145 (or 15120 counting only the distinct ones).

The product of its (nonzero) digits is 420078960, while the sum is 72.

The spelling of 13999507774272 in words is "thirteen trillion, nine hundred ninety-nine billion, five hundred seven million, seven hundred seventy-four thousand, two hundred seventy-two".