906182148096 has 405 divisors, whose sum is σ = 2731197834729. Its totient is φ = 289510391808.

The previous prime is 906182148089. The next prime is 906182148247. The reversal of 906182148096 is 690841281609.

The square root of 906182148096 is 951936.

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

906182148096 is a `hidden beast` number, since 9 + 0 + 618 + 2 + 14 + 8 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 810864230400 + 95317917696 = 900480^2 + 308736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13525106655 + ... + 13525106721.

Almost surely, 2^906182148096 is an apocalyptic number.

906182148096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

906182148096 is the 951936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906182148096

906182148096 is an abundant number, since it is smaller than the sum of its proper divisors (1825015686633).

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

906182148096 is an frugal number, since it uses more digits than its factorization.

906182148096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 906182148096 in words is "nine hundred six billion, one hundred eighty-two million, one hundred forty-eight thousand, ninety-six".