10240453656664 has 192 divisors, whose sum is σ = 24625201651200. Its totient is φ = 3947434848000.

The previous prime is 10240453656647. The next prime is 10240453656673. The reversal of 10240453656664 is 46665635404201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663277057 + ... + 663292495.

It is an arithmetic number, because the mean of its divisors is an integer number (128256258600).

Almost surely, 2^{10240453656664} is an apocalyptic number.

10240453656664 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 10240453656664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12312600825600).

10240453656664 is an abundant number, since it is smaller than the sum of its proper divisors (14384747994536).

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

10240453656664 is a wasteful number, since it uses less digits than its factorization.

10240453656664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17094 (or 17083 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 52.

The spelling of 10240453656664 in words is "ten trillion, two hundred forty billion, four hundred fifty-three million, six hundred fifty-six thousand, six hundred sixty-four".