15003460745000 has 640 divisors, whose sum is σ = 44194843123200. Its totient is φ = 4646813184000.

The previous prime is 15003460744997. The next prime is 15003460745017. The reversal of 15003460745000 is 54706430051.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 159 ways as a sum of consecutive naturals, for example, 16325854541 + ... + 16325855459.

It is an arithmetic number, because the mean of its divisors is an integer number (69054442380).

Almost surely, 2^{15003460745000} is an apocalyptic number.

15003460745000 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 15003460745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22097421561600).

15003460745000 is an abundant number, since it is smaller than the sum of its proper divisors (29191382378200).

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

15003460745000 is a wasteful number, since it uses less digits than its factorization.

15003460745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 15003460745000 in words is "fifteen trillion, three billion, four hundred sixty million, seven hundred forty-five thousand".