10436156094016 has 63 divisors (see below), whose sum is σ = 21204315832203. Its totient is φ = 5096184670080.

The previous prime is 10436156093971. The next prime is 10436156094019. The reversal of 10436156094016 is 61049065163401.

The square root of 10436156094016 is 3230504.

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

10436156094016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10436156094019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1111288681 + ... + 1111298071.

It is an arithmetic number, because the mean of its divisors is an integer number (336576441781).

Almost surely, 2^{10436156094016} is an apocalyptic number.

10436156094016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10436156094016 is the 3230504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10436156094016

10436156094016 is an abundant number, since it is smaller than the sum of its proper divisors (10768159738187).

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

10436156094016 is an frugal number, since it uses more digits than its factorization.

10436156094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18880 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 10436156094016 in words is "ten trillion, four hundred thirty-six billion, one hundred fifty-six million, ninety-four thousand, sixteen".