64103814144 has 132 divisors (see below), whose sum is σ = 185584581780. Its totient is φ = 21311815680.

The previous prime is 64103814097. The next prime is 64103814157. The reversal of 64103814144 is 44141830146.

It is a happy number.

64103814144 is a `hidden beast` number, since 64 + 103 + 81 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19376640000 + 44727174144 = 139200^2 + 211488^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 64103814099 and 64103814108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3576084 + ... + 3593964.

Almost surely, 2^64103814144 is an apocalyptic number.

64103814144 is a gapful number since it is divisible by the number (64) 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 64103814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92792290890).

64103814144 is an abundant number, since it is smaller than the sum of its proper divisors (121480767636).

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

64103814144 is a wasteful number, since it uses less digits than its factorization.

64103814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18296 (or 18275 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 64103814144 in words is "sixty-four billion, one hundred three million, eight hundred fourteen thousand, one hundred forty-four".