14496782976 has 256 divisors, whose sum is σ = 48083616000. Its totient is φ = 4266307584.

The previous prime is 14496782947. The next prime is 14496782983. The reversal of 14496782976 is 67928769441.

14496782976 is a `hidden beast` number, since 1 + 4 + 496 + 78 + 2 + 9 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026330 + ... + 1040358.

It is an arithmetic number, because the mean of its divisors is an integer number (187826625).

Almost surely, 2^14496782976 is an apocalyptic number.

14496782976 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 14496782976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24041808000).

14496782976 is an abundant number, since it is smaller than the sum of its proper divisors (33586833024).

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

14496782976 is a wasteful number, since it uses less digits than its factorization.

14496782976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14088 (or 14070 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 14496782976 in words is "fourteen billion, four hundred ninety-six million, seven hundred eighty-two thousand, nine hundred seventy-six".