14961271248 has 240 divisors, whose sum is σ = 52298902656. Its totient is φ = 3878876160.

The previous prime is 14961271231. The next prime is 14961271249. The reversal of 14961271248 is 84217216941.

14961271248 is a `hidden beast` number, since 1 + 4 + 9 + 612 + 7 + 1 + 24 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14961271249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8836290 + ... + 8837982.

Almost surely, 2^14961271248 is an apocalyptic number.

14961271248 is a gapful number since it is divisible by the number (18) 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 14961271248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26149451328).

14961271248 is an abundant number, since it is smaller than the sum of its proper divisors (37337631408).

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

14961271248 is a wasteful number, since it uses less digits than its factorization.

14961271248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2513 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 14961271248 in words is "fourteen billion, nine hundred sixty-one million, two hundred seventy-one thousand, two hundred forty-eight".