10814031648 has 144 divisors (see below), whose sum is σ = 35741684160. Its totient is φ = 3037321728.

The previous prime is 10814031643. The next prime is 10814031689. The reversal of 10814031648 is 84613041801.

It is a happy number.

10814031648 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 4 + 0 + 3 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10814031643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73486 + ... + 164402.

It is an arithmetic number, because the mean of its divisors is an integer number (248206140).

Almost surely, 2^10814031648 is an apocalyptic number.

10814031648 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 10814031648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870842080).

10814031648 is an abundant number, since it is smaller than the sum of its proper divisors (24927652512).

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

10814031648 is a wasteful number, since it uses less digits than its factorization.

10814031648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90999 (or 90988 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10814031648 in words is "ten billion, eight hundred fourteen million, thirty-one thousand, six hundred forty-eight".