13737661272192 has 512 divisors, whose sum is σ = 43080549684480. Its totient is φ = 3823902720000.

The previous prime is 13737661272091. The next prime is 13737661272193. The reversal of 13737661272192 is 29127216673731.

It is not an unprimeable number, because it can be changed into a prime (13737661272193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16732839142 + ... + 16732839962.

Almost surely, 2^{13737661272192} is an apocalyptic number.

13737661272192 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 13737661272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21540274842240).

13737661272192 is an abundant number, since it is smaller than the sum of its proper divisors (29342888412288).

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

13737661272192 is a wasteful number, since it uses less digits than its factorization.

13737661272192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1972 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 57.

The spelling of 13737661272192 in words is "thirteen trillion, seven hundred thirty-seven billion, six hundred sixty-one million, two hundred seventy-two thousand, one hundred ninety-two".