10609008051456 has 144 divisors (see below), whose sum is σ = 32384726545920. Its totient is φ = 3422260592640.

The previous prime is 10609008051449. The next prime is 10609008051479. The reversal of 10609008051456 is 65415080090601.

10609008051456 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 0 + 0 + 80 + 514 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10609008051456² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24541665 + ... + 24970208.

Almost surely, 2^{10609008051456} is an apocalyptic number.

10609008051456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10609008051456 is an abundant number, since it is smaller than the sum of its proper divisors (21775718494464).

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

10609008051456 is an equidigital number, since it uses as much as digits as its factorization.

10609008051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49511929 (or 49511909 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10609008051456 in words is "ten trillion, six hundred nine billion, eight million, fifty-one thousand, four hundred fifty-six".