13742652103812 has 336 divisors, whose sum is σ = 38178514483200. Its totient is φ = 4314393927360.

The previous prime is 13742652103801. The next prime is 13742652103837. The reversal of 13742652103812 is 21830125624731.

13742652103812 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 265 + 2 + 1 + 0 + 381 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10915529239 + ... + 10915530497.

It is an arithmetic number, because the mean of its divisors is an integer number (113626531200).

Almost surely, 2^{13742652103812} is an apocalyptic number.

13742652103812 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 13742652103812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19089257241600).

13742652103812 is an abundant number, since it is smaller than the sum of its proper divisors (24435862379388).

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

13742652103812 is a wasteful number, since it uses less digits than its factorization.

13742652103812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13742652103812 in words is "thirteen trillion, seven hundred forty-two billion, six hundred fifty-two million, one hundred three thousand, eight hundred twelve".