13807190016 has 357 divisors, whose sum is σ = 43981005121. Its totient is φ = 4331667456.

The previous prime is 13807190011. The next prime is 13807190017. The reversal of 13807190016 is 61009170831.

The square root of 13807190016 is 117504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10749542400 + 3057647616 = 103680^2 + 55296^2 .

It is a super-2 number, since 2×13807190016² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13807190011) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 812187640 + ... + 812187656.

Almost surely, 2^13807190016 is an apocalyptic number.

13807190016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13807190016 is the 117504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13807190016

13807190016 is an abundant number, since it is smaller than the sum of its proper divisors (30173815105).

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

13807190016 is an frugal number, since it uses more digits than its factorization.

13807190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Multiplying 13807190016 by its sum of digits (36), we get a square (497058840576 = 705024²).

13807190016 divided by its sum of digits (36) gives a square (383533056 = 19584²).

The spelling of 13807190016 in words is "thirteen billion, eight hundred seven million, one hundred ninety thousand, sixteen".