985148416032 has 96 divisors (see below), whose sum is σ = 2825710816320. Its totient is φ = 298042629120.

The previous prime is 985148416001. The next prime is 985148416037. The reversal of 985148416032 is 230614841589.

985148416032 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is a super-2 number, since 2×985148416032² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (985148416037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113607 + ... + 1408262.

It is an arithmetic number, because the mean of its divisors is an integer number (29434487670).

Almost surely, 2^985148416032 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 985148416032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412855408160).

985148416032 is an abundant number, since it is smaller than the sum of its proper divisors (1840562400288).

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

985148416032 is a wasteful number, since it uses less digits than its factorization.

985148416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522506 (or 1522498 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 985148416032 in words is "nine hundred eighty-five billion, one hundred forty-eight million, four hundred sixteen thousand, thirty-two".