14530042502976 has 2688 divisors, whose sum is σ = 58734936981504. Its totient is φ = 3050003496960.

The previous prime is 14530042502953. The next prime is 14530042502981. The reversal of 14530042502976 is 67920524003541.

It is a super-2 number, since 2×14530042502976² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 114409783425 + ... + 114409783551.

It is an arithmetic number, because the mean of its divisors is an integer number (21850795008).

Almost surely, 2^{14530042502976} is an apocalyptic number.

14530042502976 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 14530042502976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29367468490752).

14530042502976 is an abundant number, since it is smaller than the sum of its proper divisors (44204894478528).

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

14530042502976 is a wasteful number, since it uses less digits than its factorization.

14530042502976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 14530042502976 in words is "fourteen trillion, five hundred thirty billion, forty-two million, five hundred two thousand, nine hundred seventy-six".