13790448000 has 384 divisors, whose sum is σ = 56604075840. Its totient is φ = 3151872000.

The previous prime is 13790447971. The next prime is 13790448029. The reversal of 13790448000 is 84409731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13790447971) and next prime (13790448029).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001160 + ... + 1014840.

Almost surely, 2^13790448000 is an apocalyptic number.

13790448000 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 13790448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28302037920).

13790448000 is an abundant number, since it is smaller than the sum of its proper divisors (42813627840).

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

13790448000 is a wasteful number, since it uses less digits than its factorization.

13790448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13723 (or 13698 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13790448000 in words is "thirteen billion, seven hundred ninety million, four hundred forty-eight thousand".