13449890378880 has 192 divisors, whose sum is σ = 48463464179520. Its totient is φ = 3430696642560.

The previous prime is 13449890378851. The next prime is 13449890378927. The reversal of 13449890378880 is 8887309894431.

13449890378880 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 98 + 90 + 378 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13449890378799 and 13449890378808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50629486 + ... + 50894445.

It is an arithmetic number, because the mean of its divisors is an integer number (252413875935).

Almost surely, 2^{13449890378880} is an apocalyptic number.

13449890378880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13449890378880 is an abundant number, since it is smaller than the sum of its proper divisors (35013573800640).

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

13449890378880 is a wasteful number, since it uses less digits than its factorization.

13449890378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101523979 (or 101523964 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 13449890378880 in words is "thirteen trillion, four hundred forty-nine billion, eight hundred ninety million, three hundred seventy-eight thousand, eight hundred eighty".