14945293672848 has 480 divisors, whose sum is σ = 53511260774400. Its totient is φ = 3780834140160.

The previous prime is 14945293672747. The next prime is 14945293672867. The reversal of 14945293672848 is 84827639254941.

14945293672848 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 529 + 36 + 7 + 28 + 48 = 666.

It is a super-2 number, since 2×14945293672848² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168260353 + ... + 168349151.

It is an arithmetic number, because the mean of its divisors is an integer number (111481793280).

Almost surely, 2^{14945293672848} is an apocalyptic number.

14945293672848 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 14945293672848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26755630387200).

14945293672848 is an abundant number, since it is smaller than the sum of its proper divisors (38565967101552).

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

14945293672848 is a wasteful number, since it uses less digits than its factorization.

14945293672848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89227 (or 89218 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 14945293672848 in words is "fourteen trillion, nine hundred forty-five billion, two hundred ninety-three million, six hundred seventy-two thousand, eight hundred forty-eight".