901002816000 has 480 divisors, whose sum is σ = 3708865974528. Its totient is φ = 205942579200.

The previous prime is 901002815959. The next prime is 901002816001. The reversal of 901002816000 is 618200109.

901002816000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (901002816001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3920269 + ... + 4143731.

Almost surely, 2^901002816000 is an apocalyptic number.

901002816000 is a gapful number since it is divisible by the number (90) 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 901002816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854432987264).

901002816000 is an abundant number, since it is smaller than the sum of its proper divisors (2807863158528).

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

901002816000 is a wasteful number, since it uses less digits than its factorization.

901002816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223509 (or 223480 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 901002816000 in words is "nine hundred one billion, two million, eight hundred sixteen thousand".