15168468000 has 384 divisors, whose sum is σ = 57062154240. Its totient is φ = 3450547200.

The previous prime is 15168467969. The next prime is 15168468001. The reversal of 15168468000 is 86486151.

It is a self number, because there is not a number n which added to its sum of digits gives 15168468000.

It is not an unprimeable number, because it can be changed into a prime (15168468001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30155749 + ... + 30156251.

It is an arithmetic number, because the mean of its divisors is an integer number (148599360).

Almost surely, 2^15168468000 is an apocalyptic number.

15168468000 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 15168468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28531077120).

15168468000 is an abundant number, since it is smaller than the sum of its proper divisors (41893686240).

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

15168468000 is a wasteful number, since it uses less digits than its factorization.

15168468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 15168468000 in words is "fifteen billion, one hundred sixty-eight million, four hundred sixty-eight thousand".