10145355060544 has 112 divisors (see below), whose sum is σ = 22046192778240. Its totient is φ = 4593937559040.

The previous prime is 10145355060509. The next prime is 10145355060557. The reversal of 10145355060544 is 44506055354101.

It is a self number, because there is not a number n which added to its sum of digits gives 10145355060544.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 1307555737 + ... + 1307563495.

Almost surely, 2^{10145355060544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145355060544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11023096389120).

10145355060544 is an abundant number, since it is smaller than the sum of its proper divisors (11900837717696).

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

10145355060544 is a wasteful number, since it uses less digits than its factorization.

10145355060544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14628 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 43.

The spelling of 10145355060544 in words is "ten trillion, one hundred forty-five billion, three hundred fifty-five million, sixty thousand, five hundred forty-four".