10113061450816 has 63 divisors (see below), whose sum is σ = 20737964356983. Its totient is φ = 4893035218560.

The previous prime is 10113061450711. The next prime is 10113061450967. The reversal of 10113061450816 is 61805416031101.

The square root of 10113061450816 is 3180104.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 788659381 + ... + 788672203.

Almost surely, 2^{10113061450816} is an apocalyptic number.

10113061450816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10113061450816 is the 3180104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113061450816

10113061450816 is an abundant number, since it is smaller than the sum of its proper divisors (10624902906167).

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

10113061450816 is an frugal number, since it uses more digits than its factorization.

10113061450816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25720 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

Adding to 10113061450816 its reverse (61805416031101), we get a palindrome (71918477481917).

The spelling of 10113061450816 in words is "ten trillion, one hundred thirteen billion, sixty-one million, four hundred fifty thousand, eight hundred sixteen".