10454883344640 has 3456 divisors, whose sum is σ = 47598793482240. Its totient is φ = 2063912140800.

The previous prime is 10454883344629. The next prime is 10454883344681. The reversal of 10454883344640 is 4644338845401.

10454883344640 is a `hidden beast` number, since 1 + 0 + 4 + 54 + 88 + 33 + 446 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 95916360906 + ... + 95916361014.

It is an arithmetic number, because the mean of its divisors is an integer number (13772799040).

Almost surely, 2^{10454883344640} is an apocalyptic number.

10454883344640 is a gapful number since it is divisible by the number (10) 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 10454883344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23799396741120).

10454883344640 is an abundant number, since it is smaller than the sum of its proper divisors (37143910137600).

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

10454883344640 is a wasteful number, since it uses less digits than its factorization.

10454883344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 10454883344640 in words is "ten trillion, four hundred fifty-four billion, eight hundred eighty-three million, three hundred forty-four thousand, six hundred forty".