901338485160 has 256 divisors, whose sum is σ = 2919241036800. Its totient is φ = 221898313728.

The previous prime is 901338485149. The next prime is 901338485167. The reversal of 901338485160 is 61584833109.

It is a super-2 number, since 2×901338485160² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (901338485167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43421344 + ... + 43442096.

It is an arithmetic number, because the mean of its divisors is an integer number (11403285300).

Almost surely, 2^901338485160 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 901338485160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459620518400).

901338485160 is an abundant number, since it is smaller than the sum of its proper divisors (2017902551640).

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

901338485160 is a wasteful number, since it uses less digits than its factorization.

901338485160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21272 (or 21268 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 901338485160 in words is "nine hundred one billion, three hundred thirty-eight million, four hundred eighty-five thousand, one hundred sixty".