10446351813648 has 640 divisors, whose sum is σ = 32774616576000. Its totient is φ = 3175101296640.

The previous prime is 10446351813619. The next prime is 10446351813649. The reversal of 10446351813648 is 84631815364401.

10446351813648 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 63 + 518 + 1 + 3 + 64 + 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 = 10446351813594 and 10446351813603.

It is not an unprimeable number, because it can be changed into a prime (10446351813649) 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, 6700673893 + ... + 6700675451.

It is an arithmetic number, because the mean of its divisors is an integer number (51210338400).

Almost surely, 2^{10446351813648} is an apocalyptic number.

10446351813648 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 10446351813648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16387308288000).

10446351813648 is an abundant number, since it is smaller than the sum of its proper divisors (22328264762352).

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

10446351813648 is a wasteful number, since it uses less digits than its factorization.

10446351813648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 10446351813648 in words is "ten trillion, four hundred forty-six billion, three hundred fifty-one million, eight hundred thirteen thousand, six hundred forty-eight".