10923413046480 has 180 divisors, whose sum is σ = 40322590946820. Its totient is φ = 2648100111360.

The previous prime is 10923413046443. The next prime is 10923413046517. The reversal of 10923413046480 is 8464031432901.

10923413046480 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 34 + 130 + 4 + 6 + 480 = 666.

10923413046480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10923413046443) and next prime (10923413046517).

It can be written as a sum of positive squares in 2 ways, for example, as 8133858368064 + 2789554678416 = 2851992^2 + 1670196^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62604645 + ... + 62778884.

It is an arithmetic number, because the mean of its divisors is an integer number (224014394149).

Almost surely, 2^{10923413046480} is an apocalyptic number.

10923413046480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10923413046480 is an abundant number, since it is smaller than the sum of its proper divisors (29399177900340).

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

10923413046480 is a wasteful number, since it uses less digits than its factorization.

10923413046480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125383570 (or 125383550 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10923413046480 in words is "ten trillion, nine hundred twenty-three billion, four hundred thirteen million, forty-six thousand, four hundred eighty".