10145205552461 has 16 divisors (see below), whose sum is σ = 11620889856000. Its totient is φ = 8676115381248.

The previous prime is 10145205552413. The next prime is 10145205552463. The reversal of 10145205552461 is 16425550254101.

It is not a de Polignac number, because 10145205552461 - 2⁶ = 10145205552397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145205552463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80363156 + ... + 80489298.

It is an arithmetic number, because the mean of its divisors is an integer number (726305616000).

Almost surely, 2^{10145205552461} is an apocalyptic number.

It is an amenable number.

10145205552461 is a deficient number, since it is larger than the sum of its proper divisors (1475684303539).

10145205552461 is a wasteful number, since it uses less digits than its factorization.

10145205552461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152188.

The product of its (nonzero) digits is 240000, while the sum is 41.

The spelling of 10145205552461 in words is "ten trillion, one hundred forty-five billion, two hundred five million, five hundred fifty-two thousand, four hundred sixty-one".