905468125000 has 128 divisors (see below), whose sum is σ = 2125723073760. Its totient is φ = 361584000000.

The previous prime is 905468124991. The next prime is 905468125021. The reversal of 905468125000 is 521864509.

It can be written as a sum of positive squares in 16 ways, for example, as 904868952516 + 599172484 = 951246^2 + 24478^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698124352 + ... + 698125648.

Almost surely, 2^905468125000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905468125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062861536880).

905468125000 is an abundant number, since it is smaller than the sum of its proper divisors (1220254948760).

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

905468125000 is an equidigital number, since it uses as much as digits as its factorization.

905468125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

Adding to 905468125000 its reverse (521864509), we get a palindrome (905989989509).

The spelling of 905468125000 in words is "nine hundred five billion, four hundred sixty-eight million, one hundred twenty-five thousand".