10366381134648 has 320 divisors, whose sum is σ = 36309484696320. Its totient is φ = 2684427609600.

The previous prime is 10366381134631. The next prime is 10366381134649. The reversal of 10366381134648 is 84643118366301.

10366381134648 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 63 + 8 + 113 + 464 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10366381134594 and 10366381134603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10366381134649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16201740 + ... + 16829412.

It is an arithmetic number, because the mean of its divisors is an integer number (113467139676).

Almost surely, 2^{10366381134648} is an apocalyptic number.

10366381134648 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 10366381134648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154742348160).

10366381134648 is an abundant number, since it is smaller than the sum of its proper divisors (25943103561672).

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

10366381134648 is a wasteful number, since it uses less digits than its factorization.

10366381134648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628040 (or 628027 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 10366381134648 in words is "ten trillion, three hundred sixty-six billion, three hundred eighty-one million, one hundred thirty-four thousand, six hundred forty-eight".