14914428669504 has 2016 divisors, whose sum is σ = 56878350048000. Its totient is φ = 3728060743680.

The previous prime is 14914428669493. The next prime is 14914428669541. The reversal of 14914428669504 is 40596682441941.

14914428669504 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 4 + 42 + 86 + 6 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 70684495959 + ... + 70684496169.

Almost surely, 2^{14914428669504} is an apocalyptic number.

14914428669504 is a gapful number since it is divisible by the number (14) 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 14914428669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28439175024000).

14914428669504 is an abundant number, since it is smaller than the sum of its proper divisors (41963921378496).

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

14914428669504 is a wasteful number, since it uses less digits than its factorization.

14914428669504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 14914428669504 in words is "fourteen trillion, nine hundred fourteen billion, four hundred twenty-eight million, six hundred sixty-nine thousand, five hundred four".