13974494376000 has 448 divisors, whose sum is σ = 50684281989120. Its totient is φ = 3376900454400.

The previous prime is 13974494375969. The next prime is 13974494376071. The reversal of 13974494376000 is 67349447931.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 63 ways as a sum of consecutive naturals, for example, 9821787 + ... + 11154213.

Almost surely, 2^{13974494376000} is an apocalyptic number.

13974494376000 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 13974494376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25342140994560).

13974494376000 is an abundant number, since it is smaller than the sum of its proper divisors (36709787613120).

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

13974494376000 is a wasteful number, since it uses less digits than its factorization.

13974494376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332499 (or 1332479 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 13974494376000 in words is "thirteen trillion, nine hundred seventy-four billion, four hundred ninety-four million, three hundred seventy-six thousand".