333420385536 has 1134 divisors, whose sum is σ = 1237203287082. Its totient is φ = 89355571200.

The previous prime is 333420385489. The next prime is 333420385541. The reversal of 333420385536 is 635583024333.

333420385536 is a `hidden beast` number, since 3 + 3 + 34 + 2 + 0 + 3 + 85 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 330119193600 + 3301191936 = 574560^2 + 57456^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

It is a super-2 number, since 2×333420385536² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333420385491 and 333420385500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3301191886 + ... + 3301191986.

Almost surely, 2^333420385536 is an apocalyptic number.

333420385536 is a gapful number since it is divisible by the number (36) 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 333420385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618601643541).

333420385536 is an abundant number, since it is smaller than the sum of its proper divisors (903782901546).

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

333420385536 is an equidigital number, since it uses as much as digits as its factorization.

333420385536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 333420385536 in words is "three hundred thirty-three billion, four hundred twenty million, three hundred eighty-five thousand, five hundred thirty-six".