13484628000 has 576 divisors, whose sum is σ = 50729462784. Its totient is φ = 3386880000.

The previous prime is 13484627999. The next prime is 13484628007. The reversal of 13484628000 is 82648431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13484628007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47987860 + ... + 47988140.

It is an arithmetic number, because the mean of its divisors is an integer number (88071984).

Almost surely, 2^13484628000 is an apocalyptic number.

13484628000 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 13484628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25364731392).

13484628000 is an abundant number, since it is smaller than the sum of its proper divisors (37244834784).

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

13484628000 is a wasteful number, since it uses less digits than its factorization.

13484628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13484628000 in words is "thirteen billion, four hundred eighty-four million, six hundred twenty-eight thousand".