13813462080 has 672 divisors, whose sum is σ = 55717683840. Its totient is φ = 3105423360.

The previous prime is 13813462073. The next prime is 13813462087. The reversal of 13813462080 is 8026431831.

13813462080 is a `hidden beast` number, since 13 + 8 + 13 + 4 + 620 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13813462073) and next prime (13813462087).

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 (13813462087) 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, 31901544 + ... + 31901976.

It is an arithmetic number, because the mean of its divisors is an integer number (82913220).

Almost surely, 2^13813462080 is an apocalyptic number.

13813462080 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 13813462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27858841920).

13813462080 is an abundant number, since it is smaller than the sum of its proper divisors (41904221760).

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

13813462080 is a wasteful number, since it uses less digits than its factorization.

13813462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13813462080 in words is "thirteen billion, eight hundred thirteen million, four hundred sixty-two thousand, eighty".