10383499685664 has 1440 divisors, whose sum is σ = 37980703474560. Its totient is φ = 2724579016704.

The previous prime is 10383499685651. The next prime is 10383499685687. The reversal of 10383499685664 is 46658699438301.

10383499685664 is a `hidden beast` number, since 1 + 0 + 3 + 83 + 499 + 6 + 8 + 56 + 6 + 4 = 666.

10383499685664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10383499685592 and 10383499685601.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37485558294 + ... + 37485558570.

It is an arithmetic number, because the mean of its divisors is an integer number (26375488524).

Almost surely, 2^{10383499685664} is an apocalyptic number.

10383499685664 is a gapful number since it is divisible by the number (14) 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 10383499685664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990351737280).

10383499685664 is an abundant number, since it is smaller than the sum of its proper divisors (27597203788896).

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

10383499685664 is a wasteful number, since it uses less digits than its factorization.

10383499685664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 10383499685664 in words is "ten trillion, three hundred eighty-three billion, four hundred ninety-nine million, six hundred eighty-five thousand, six hundred sixty-four".