13976599374144 has 896 divisors, whose sum is σ = 48773949696000. Its totient is φ = 3879390412800.

The previous prime is 13976599374061. The next prime is 13976599374149. The reversal of 13976599374144 is 44147399567931.

13976599374144 is a `hidden beast` number, since 1 + 3 + 9 + 76 + 59 + 93 + 7 + 414 + 4 = 666.

It is a super-3 number, since 3×13976599374144³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13976599374149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1299780672 + ... + 1299791424.

Almost surely, 2^{13976599374144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13976599374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24386974848000).

13976599374144 is an abundant number, since it is smaller than the sum of its proper divisors (34797350321856).

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

13976599374144 is a wasteful number, since it uses less digits than its factorization.

13976599374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10924 (or 10908 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 13976599374144 in words is "thirteen trillion, nine hundred seventy-six billion, five hundred ninety-nine million, three hundred seventy-four thousand, one hundred forty-four".