13772985408 has 336 divisors, whose sum is σ = 48994283520. Its totient is φ = 3602092032.

The previous prime is 13772985407. The next prime is 13772985437. The reversal of 13772985408 is 80458927731.

It is a happy number.

13772985408 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 2 + 98 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (13772985407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6655798 + ... + 6657866.

It is an arithmetic number, because the mean of its divisors is an integer number (145816320).

Almost surely, 2^13772985408 is an apocalyptic number.

13772985408 is a gapful number since it is divisible by the number (18) 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 13772985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24497141760).

13772985408 is an abundant number, since it is smaller than the sum of its proper divisors (35221298112).

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

13772985408 is a wasteful number, since it uses less digits than its factorization.

13772985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 13772985408 in words is "thirteen billion, seven hundred seventy-two million, nine hundred eighty-five thousand, four hundred eight".