14025162816 has 672 divisors, whose sum is σ = 51352704000. Its totient is φ = 3569577984.

The previous prime is 14025162799. The next prime is 14025162821. The reversal of 14025162816 is 61826152041.

It is a happy number.

14025162816 is a `hidden beast` number, since 1 + 4 + 0 + 25 + 1 + 628 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131076235 + ... + 131076341.

Almost surely, 2^14025162816 is an apocalyptic number.

14025162816 is a gapful number since it is divisible by the number (16) 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 14025162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25676352000).

14025162816 is an abundant number, since it is smaller than the sum of its proper divisors (37327541184).

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

14025162816 is a wasteful number, since it uses less digits than its factorization.

14025162816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14025162816 in words is "fourteen billion, twenty-five million, one hundred sixty-two thousand, eight hundred sixteen".