14948499456 has 250 divisors, whose sum is σ = 48721033812. Its totient is φ = 4529848320.

The previous prime is 14948499443. The next prime is 14948499469. The reversal of 14948499456 is 65499484941.

14948499456 is a `hidden beast` number, since 1 + 4 + 94 + 8 + 4 + 99 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (14948499443) and next prime (14948499469).

Its product of digits (44789760) is a multiple of the sum of its prime divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 14948499393 and 14948499402.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1358954491 + ... + 1358954501.

Almost surely, 2^14948499456 is an apocalyptic number.

14948499456 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 14948499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24360516906).

14948499456 is an abundant number, since it is smaller than the sum of its proper divisors (33772534356).

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

14948499456 is an frugal number, since it uses more digits than its factorization.

14948499456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 16 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 14948499456 in words is "fourteen billion, nine hundred forty-eight million, four hundred ninety-nine thousand, four hundred fifty-six".