13148916000 has 768 divisors, whose sum is σ = 50540765184. Its totient is φ = 2956800000.

The previous prime is 13148915911. The next prime is 13148916031. The reversal of 13148916000 is 61984131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185195965 + ... + 185196035.

It is an arithmetic number, because the mean of its divisors is an integer number (65808288).

Almost surely, 2^13148916000 is an apocalyptic number.

13148916000 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 13148916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25270382592).

13148916000 is an abundant number, since it is smaller than the sum of its proper divisors (37391849184).

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

13148916000 is a wasteful number, since it uses less digits than its factorization.

13148916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 13148916000 in words is "thirteen billion, one hundred forty-eight million, nine hundred sixteen thousand".