10645452334400 has 84 divisors (see below), whose sum is σ = 28209425140092. Its totient is φ = 3930628546560.

The previous prime is 10645452334369. The next prime is 10645452334403. The reversal of 10645452334400 is 443325454601.

It can be written as a sum of positive squares in 6 ways, for example, as 520175597824 + 10125276736576 = 721232^2 + 3182024^2 .

It is a super-2 number, since 2×10645452334400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645452334403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255879497 + ... + 255921096.

It is an arithmetic number, because the mean of its divisors is an integer number (335826489763).

Almost surely, 2^{10645452334400} is an apocalyptic number.

10645452334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10645452334400 is an abundant number, since it is smaller than the sum of its proper divisors (17563972805692).

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

10645452334400 is a wasteful number, since it uses less digits than its factorization.

10645452334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511800628 (or 511800613 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 10645452334400 in words is "ten trillion, six hundred forty-five billion, four hundred fifty-two million, three hundred thirty-four thousand, four hundred".