14979958705152 has 440 divisors, whose sum is σ = 51240852481280. Its totient is φ = 4270166138880.

The previous prime is 14979958705141. The next prime is 14979958705157. The reversal of 14979958705152 is 25150785997941.

14979958705152 is a `hidden beast` number, since 1 + 497 + 9 + 9 + 5 + 87 + 0 + 5 + 1 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14979958705157) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254857527 + ... + 254916297.

It is an arithmetic number, because the mean of its divisors is an integer number (116456482912).

Almost surely, 2^{14979958705152} is an apocalyptic number.

14979958705152 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 14979958705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25620426240640).

14979958705152 is an abundant number, since it is smaller than the sum of its proper divisors (36260893776128).

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

14979958705152 is an equidigital number, since it uses as much as digits as its factorization.

14979958705152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59249 (or 59222 counting only the distinct ones).

The product of its (nonzero) digits is 285768000, while the sum is 72.

The spelling of 14979958705152 in words is "fourteen trillion, nine hundred seventy-nine billion, nine hundred fifty-eight million, seven hundred five thousand, one hundred fifty-two".