905525354496 has 896 divisors, whose sum is σ = 3091432780800. Its totient is φ = 229889802240.

The previous prime is 905525354479. The next prime is 905525354497. The reversal of 905525354496 is 694453525509.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905525354497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3886374796 + ... + 3886375028.

It is an arithmetic number, because the mean of its divisors is an integer number (3450259800).

Almost surely, 2^905525354496 is an apocalyptic number.

905525354496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905525354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545716390400).

905525354496 is an abundant number, since it is smaller than the sum of its proper divisors (2185907426304).

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

905525354496 is a wasteful number, since it uses less digits than its factorization.

905525354496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 57.

The spelling of 905525354496 in words is "nine hundred five billion, five hundred twenty-five million, three hundred fifty-four thousand, four hundred ninety-six".