14978828152272 has 160 divisors (see below), whose sum is σ = 40025055375360. Its totient is φ = 4822027822080.

The previous prime is 14978828152259. The next prime is 14978828152333. The reversal of 14978828152272 is 27225182887941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3125144308 + ... + 3125149100.

It is an arithmetic number, because the mean of its divisors is an integer number (250156596096).

Almost surely, 2^{14978828152272} is an apocalyptic number.

14978828152272 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 14978828152272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20012527687680).

14978828152272 is an abundant number, since it is smaller than the sum of its proper divisors (25046227223088).

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

14978828152272 is a wasteful number, since it uses less digits than its factorization.

14978828152272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8681 (or 8675 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 66.

The spelling of 14978828152272 in words is "fourteen trillion, nine hundred seventy-eight billion, eight hundred twenty-eight million, one hundred fifty-two thousand, two hundred seventy-two".