10906081914 has 256 divisors, whose sum is σ = 28777512960. Its totient is φ = 2678987520.

The previous prime is 10906081913. The next prime is 10906081937. The reversal of 10906081914 is 41918060901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10906081913) 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, 66908397 + ... + 66908559.

It is an arithmetic number, because the mean of its divisors is an integer number (112412160).

Almost surely, 2^10906081914 is an apocalyptic number.

10906081914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10906081914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388756480).

10906081914 is an abundant number, since it is smaller than the sum of its proper divisors (17871431046).

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

10906081914 is a wasteful number, since it uses less digits than its factorization.

10906081914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345.

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 10906081914 in words is "ten billion, nine hundred six million, eighty-one thousand, nine hundred fourteen".