13774012416 has 300 divisors, whose sum is σ = 41963517288. Its totient is φ = 4501536768.

The previous prime is 13774012409. The next prime is 13774012451. The reversal of 13774012416 is 61421047731.

13774012416 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 401 + 241 + 6 = 666.

It is a super-2 number, since 2×13774012416² (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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128729035 + ... + 128729141.

Almost surely, 2^13774012416 is an apocalyptic number.

13774012416 is a gapful number since it is divisible by the number (16) 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 13774012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981758644).

13774012416 is an abundant number, since it is smaller than the sum of its proper divisors (28189504872).

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

13774012416 is an frugal number, since it uses more digits than its factorization.

13774012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13774012416 in words is "thirteen billion, seven hundred seventy-four million, twelve thousand, four hundred sixteen".