15314124000000 has 1008 divisors, whose sum is σ = 60113270540288. Its totient is φ = 3386880000000.

The previous prime is 15314123999921. The next prime is 15314124000013. The reversal of 15314124000000 is 42141351.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 111 ways as a sum of consecutive naturals, for example, 2603997060 + ... + 2604002940.

Almost surely, 2^{15314124000000} is an apocalyptic number.

15314124000000 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 15314124000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30056635270144).

15314124000000 is an abundant number, since it is smaller than the sum of its proper divisors (44799146540288).

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

15314124000000 is an frugal number, since it uses more digits than its factorization.

15314124000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 15314124000000 its reverse (42141351), we get a palindrome (15314166141351).

The spelling of 15314124000000 in words is "fifteen trillion, three hundred fourteen billion, one hundred twenty-four million", and thus it is an aban number.