10453648376808 has 2160 divisors, whose sum is σ = 40549496373540. Its totient is φ = 2493020436480.

The previous prime is 10453648376803. The next prime is 10453648376861. The reversal of 10453648376808 is 80867384635401.

10453648376808 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 3 + 6 + 483 + 76 + 80 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10183770204804 + 269878172004 = 3191202^2 + 519498^2 .

It is a super-3 number, since 3×10453648376808³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10453648376803) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 143200662660 + ... + 143200662732.

Almost surely, 2^{10453648376808} is an apocalyptic number.

10453648376808 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 10453648376808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20274748186770).

10453648376808 is an abundant number, since it is smaller than the sum of its proper divisors (30095847996732).

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

10453648376808 is a wasteful number, since it uses less digits than its factorization.

10453648376808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 10453648376808 in words is "ten trillion, four hundred fifty-three billion, six hundred forty-eight million, three hundred seventy-six thousand, eight hundred eight".