14456278980 has 864 divisors, whose sum is σ = 56477051904. Its totient is φ = 3079296000.

The previous prime is 14456278957. The next prime is 14456279003. The reversal of 14456278980 is 8987265441.

It is a happy number.

14456278980 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 627 + 8 + 9 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14456278957) and next prime (14456279003).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 236988150 + ... + 236988210.

Almost surely, 2^14456278980 is an apocalyptic number.

14456278980 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 14456278980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28238525952).

14456278980 is an abundant number, since it is smaller than the sum of its proper divisors (42020772924).

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

14456278980 is a wasteful number, since it uses less digits than its factorization.

14456278980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 14456278980 in words is "fourteen billion, four hundred fifty-six million, two hundred seventy-eight thousand, nine hundred eighty".