15114300480000 has 1800 divisors, whose sum is σ = 58087396882944. Its totient is φ = 3779758080000.

The previous prime is 15114300479983. The next prime is 15114300480001. The reversal of 15114300480000 is 8400341151.

It is a happy number.

15114300480000 is a `hidden beast` number, since 151 + 1 + 4 + 30 + 0 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-3 number, since 3×15114300480000³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (15114300480001) 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 179 ways as a sum of consecutive naturals, for example, 119010239937 + ... + 119010240063.

Almost surely, 2^{15114300480000} is an apocalyptic number.

15114300480000 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 15114300480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29043698441472).

15114300480000 is an abundant number, since it is smaller than the sum of its proper divisors (42973096402944).

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

15114300480000 is an equidigital number, since it uses as much as digits as its factorization.

15114300480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 15114300480000 in words is "fifteen trillion, one hundred fourteen billion, three hundred million, four hundred eighty thousand".