10046364160000 has 585 divisors, whose sum is σ = 29307110012631. Its totient is φ = 3432296448000.

The previous prime is 10046364159973. The next prime is 10046364160087. The reversal of 10046364160000 is 6146364001.

The square root of 10046364160000 is 3169600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 787634950144 + 9258729209856 = 887488^2 + 3042816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35499519859 + ... + 35499520141.

Almost surely, 2^{10046364160000} is an apocalyptic number.

10046364160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10046364160000 is the 3169600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10046364160000

10046364160000 is an abundant number, since it is smaller than the sum of its proper divisors (19260745852631).

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

10046364160000 is an frugal number, since it uses more digits than its factorization.

10046364160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 10046364160000 in words is "ten trillion, forty-six billion, three hundred sixty-four million, one hundred sixty thousand".