13124661480 has 192 divisors, whose sum is σ = 48882936960. Its totient is φ = 2991665664.

The previous prime is 13124661479. The next prime is 13124661481. The reversal of 13124661480 is 8416642131.

13124661480 is a `hidden beast` number, since 1 + 31 + 2 + 4 + 6 + 614 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13124661479) and next prime (13124661481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13124661481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932979 + ... + 946941.

It is an arithmetic number, because the mean of its divisors is an integer number (254598630).

Almost surely, 2^13124661480 is an apocalyptic number.

13124661480 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 13124661480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24441468480).

13124661480 is an abundant number, since it is smaller than the sum of its proper divisors (35758275480).

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

13124661480 is a wasteful number, since it uses less digits than its factorization.

13124661480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14360 (or 14353 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13124661480 in words is "thirteen billion, one hundred twenty-four million, six hundred sixty-one thousand, four hundred eighty".