906494410000 has 75 divisors (see below), whose sum is σ = 2194944153193. Its totient is φ = 362559680000.

The previous prime is 906494409937. The next prime is 906494410027. The reversal of 906494410000 is 14494609.

The square root of 906494410000 is 952100.

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

906494410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 740474018064 + 166020391936 = 860508^2 + 407456^2 .

It is a super-2 number, since 2×906494410000² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 95205240 + ... + 95214760.

Almost surely, 2^906494410000 is an apocalyptic number.

906494410000 is the 952100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906494410000

906494410000 is an abundant number, since it is smaller than the sum of its proper divisors (1288449743193).

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

906494410000 is an frugal number, since it uses more digits than its factorization.

906494410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19070 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 906494410000 in words is "nine hundred six billion, four hundred ninety-four million, four hundred ten thousand".