10642644450432 has 48 divisors (see below), whose sum is σ = 30625318018230. Its totient is φ = 3547548149760.

The previous prime is 10642644450413. The next prime is 10642644450463. The reversal of 10642644450432 is 23405444624601.

10642644450432 is a `hidden beast` number, since 1 + 0 + 6 + 42 + 64 + 44 + 504 + 3 + 2 = 666.

10642644450432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9715090545216 + 927553905216 = 3116904^2 + 963096^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10642644450432² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4619202169 + ... + 4619204472.

Almost surely, 2^{10642644450432} is an apocalyptic number.

10642644450432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10642644450432 is an abundant number, since it is smaller than the sum of its proper divisors (19982673567798).

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

10642644450432 is an equidigital number, since it uses as much as digits as its factorization.

10642644450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9238406661 (or 9238406646 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 10642644450432 in words is "ten trillion, six hundred forty-two billion, six hundred forty-four million, four hundred fifty thousand, four hundred thirty-two".