905451208704 has 765 divisors, whose sum is σ = 3201052268667. Its totient is φ = 254315593728.

The previous prime is 905451208691. The next prime is 905451208789. The reversal of 905451208704 is 407802154509.

The square root of 905451208704 is 951552.

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

905451208704 is a `hidden beast` number, since 9 + 0 + 54 + 512 + 0 + 87 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 905451208704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15346630627 + ... + 15346630685.

Almost surely, 2^905451208704 is an apocalyptic number.

905451208704 is the 951552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905451208704

905451208704 is an abundant number, since it is smaller than the sum of its proper divisors (2295601059963).

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

905451208704 is an frugal number, since it uses more digits than its factorization.

905451208704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 905451208704 in words is "nine hundred five billion, four hundred fifty-one million, two hundred eight thousand, seven hundred four".