13906226880 has 896 divisors, whose sum is σ = 63086284800. Its totient is φ = 2802843648.

The previous prime is 13906226869. The next prime is 13906226881. The reversal of 13906226880 is 8862260931.

13906226880 is a `hidden beast` number, since 13 + 9 + 0 + 622 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13906226881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18083136 + ... + 18083904.

It is an arithmetic number, because the mean of its divisors is an integer number (70408800).

Almost surely, 2^13906226880 is an apocalyptic number.

13906226880 is a gapful number since it is divisible by the number (10) 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 13906226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31543142400).

13906226880 is an abundant number, since it is smaller than the sum of its proper divisors (49180057920).

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

13906226880 is a wasteful number, since it uses less digits than its factorization.

13906226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13906226880 in words is "thirteen billion, nine hundred six million, two hundred twenty-six thousand, eight hundred eighty".