15414150000000 has 288 divisors, whose sum is σ = 51180266764440. Its totient is φ = 4110400000000.

The previous prime is 15414149999987. The next prime is 15414150000023. The reversal of 15414150000000 is 5141451.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149948620 + ... + 150051380.

Almost surely, 2^{15414150000000} is an apocalyptic number.

15414150000000 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 15414150000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25590133382220).

15414150000000 is an abundant number, since it is smaller than the sum of its proper divisors (35766116764440).

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

15414150000000 is an frugal number, since it uses more digits than its factorization.

15414150000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102818 (or 102771 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 15414150000000 its reverse (5141451), we get a palindrome (15414155141451).

The spelling of 15414150000000 in words is "fifteen trillion, four hundred fourteen billion, one hundred fifty million", and thus it is an aban number.