13777206912 has 480 divisors, whose sum is σ = 49137886980. Its totient is φ = 3692150784.

The previous prime is 13777206881. The next prime is 13777207019. The reversal of 13777206912 is 21960277731.

It can be written as a sum of positive squares in 2 ways, for example, as 11452424256 + 2324782656 = 107016^2 + 48216^2 .

It is a super-2 number, since 2×13777206912² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47021038 + ... + 47021330.

Almost surely, 2^13777206912 is an apocalyptic number.

13777206912 is a gapful number since it is divisible by the number (12) 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 13777206912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568943490).

13777206912 is an abundant number, since it is smaller than the sum of its proper divisors (35360680068).

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

13777206912 is an equidigital number, since it uses as much as digits as its factorization.

13777206912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 13777206912 in words is "thirteen billion, seven hundred seventy-seven million, two hundred six thousand, nine hundred twelve".