14981257011072 has 512 divisors, whose sum is σ = 46945810275840. Its totient is φ = 4181970124800.

The previous prime is 14981257011059. The next prime is 14981257011073. The reversal of 14981257011072 is 27011075218941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14981257011073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1647917247 + ... + 1647926337.

It is an arithmetic number, because the mean of its divisors is an integer number (91691035695).

Almost surely, 2^{14981257011072} is an apocalyptic number.

14981257011072 is a gapful number since it is divisible by the number (12) 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 14981257011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23472905137920).

14981257011072 is an abundant number, since it is smaller than the sum of its proper divisors (31964553264768).

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

14981257011072 is a wasteful number, since it uses less digits than its factorization.

14981257011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9622 (or 9610 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 48.

The spelling of 14981257011072 in words is "fourteen trillion, nine hundred eighty-one billion, two hundred fifty-seven million, eleven thousand, seventy-two".