10385460131904 has 945 divisors, whose sum is σ = 36759553401879. Its totient is φ = 2895742586880.

The previous prime is 10385460131887. The next prime is 10385460131951. The reversal of 10385460131904 is 40913106458301.

The square root of 10385460131904 is 3222648.

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

10385460131904 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 5 + 4 + 601 + 31 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8215377597504 + 2170082534400 = 2866248^2 + 1473120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10385460131904.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 33180383652 + ... + 33180383964.

Almost surely, 2^{10385460131904} is an apocalyptic number.

10385460131904 is the 3222648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10385460131904

10385460131904 is an abundant number, since it is smaller than the sum of its proper divisors (26374093269975).

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

10385460131904 is an equidigital number, since it uses as much as digits as its factorization.

10385460131904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10385460131904 in words is "ten trillion, three hundred eighty-five billion, four hundred sixty million, one hundred thirty-one thousand, nine hundred four".