13650458123000 has 256 divisors, whose sum is σ = 33330128832000. Its totient is φ = 5228162688000.

The previous prime is 13650458122991. The next prime is 13650458123033. The reversal of 13650458123000 is 32185405631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1594116719 + ... + 1594125281.

It is an arithmetic number, because the mean of its divisors is an integer number (130195815750).

Almost surely, 2^{13650458123000} is an apocalyptic number.

13650458123000 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 13650458123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665064416000).

13650458123000 is an abundant number, since it is smaller than the sum of its proper divisors (19679670709000).

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

13650458123000 is a wasteful number, since it uses less digits than its factorization.

13650458123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 13650458123000 in words is "thirteen trillion, six hundred fifty billion, four hundred fifty-eight million, one hundred twenty-three thousand".