13377174606072 has 256 divisors, whose sum is σ = 38608876800000. Its totient is φ = 4286440747008.

The previous prime is 13377174606017. The next prime is 13377174606091. The reversal of 13377174606072 is 27060647177331.

13377174606072 is a `hidden beast` number, since 1 + 33 + 77 + 17 + 460 + 6 + 0 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1513421829 + ... + 1513430667.

It is an arithmetic number, because the mean of its divisors is an integer number (150815925000).

Almost surely, 2^{13377174606072} is an apocalyptic number.

13377174606072 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 13377174606072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19304438400000).

13377174606072 is an abundant number, since it is smaller than the sum of its proper divisors (25231702193928).

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

13377174606072 is a wasteful number, since it uses less digits than its factorization.

13377174606072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9915 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 13377174606072 in words is "thirteen trillion, three hundred seventy-seven billion, one hundred seventy-four million, six hundred six thousand, seventy-two".