12874146162480 has 960 divisors, whose sum is σ = 48704713948800. Its totient is φ = 3148278202368.

The previous prime is 12874146162461. The next prime is 12874146162491. The reversal of 12874146162480 is 8426164147821.

12874146162480 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 4 + 1 + 4 + 6 + 1 + 624 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2609798094 + ... + 2609803026.

It is an arithmetic number, because the mean of its divisors is an integer number (50734077030).

Almost surely, 2^{12874146162480} is an apocalyptic number.

12874146162480 is a gapful number since it is divisible by the number (10) 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 12874146162480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24352356974400).

12874146162480 is an abundant number, since it is smaller than the sum of its proper divisors (35830567786320).

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

12874146162480 is a wasteful number, since it uses less digits than its factorization.

12874146162480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 12874146162480 in words is "twelve trillion, eight hundred seventy-four billion, one hundred forty-six million, one hundred sixty-two thousand, four hundred eighty".