10005551605464 has 64 divisors (see below), whose sum is σ = 25565728688640. Its totient is φ = 3261713020800.

The previous prime is 10005551605451. The next prime is 10005551605571. The reversal of 10005551605464 is 46450615550001.

It is a super-2 number, since 2×10005551605464² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1941454 + ... + 4876509.

It is an arithmetic number, because the mean of its divisors is an integer number (399464510760).

Almost surely, 2^{10005551605464} is an apocalyptic number.

It is an amenable number.

10005551605464 is an abundant number, since it is smaller than the sum of its proper divisors (15560177083176).

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

10005551605464 is a wasteful number, since it uses less digits than its factorization.

10005551605464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819320 (or 6819316 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 10005551605464 in words is "ten trillion, five billion, five hundred fifty-one million, six hundred five thousand, four hundred sixty-four".