901685385216 has 960 divisors, whose sum is σ = 3407356592640. Its totient is φ = 230756843520.

The previous prime is 901685385197. The next prime is 901685385217. The reversal of 901685385216 is 612583586109.

901685385216 is a `hidden beast` number, since 9 + 0 + 1 + 6 + 85 + 38 + 521 + 6 = 666.

It is a super-3 number, since 3×901685385216³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901685385217) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 932455965 + ... + 932456931.

It is an arithmetic number, because the mean of its divisors is an integer number (3549329784).

Almost surely, 2^901685385216 is an apocalyptic number.

901685385216 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 901685385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703678296320).

901685385216 is an abundant number, since it is smaller than the sum of its proper divisors (2505671207424).

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

901685385216 is a wasteful number, since it uses less digits than its factorization.

901685385216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 901685385216 in words is "nine hundred one billion, six hundred eighty-five million, three hundred eighty-five thousand, two hundred sixteen".