33536400345 has 48 divisors (see below), whose sum is σ = 66447144192. Its totient is φ = 15327895680.

The previous prime is 33536400269. The next prime is 33536400383. The reversal of 33536400345 is 54300463533.

33536400345 is a `hidden beast` number, since 3 + 3 + 5 + 3 + 640 + 0 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 33536400345 - 2¹⁵ = 33536367577 is a prime.

It is a super-2 number, since 2×33536400345² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2658924 + ... + 2671506.

It is an arithmetic number, because the mean of its divisors is an integer number (1384315504).

Almost surely, 2^33536400345 is an apocalyptic number.

33536400345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33536400345 is a deficient number, since it is larger than the sum of its proper divisors (32910743847).

33536400345 is a wasteful number, since it uses less digits than its factorization.

33536400345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21062 (or 21059 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 33536400345 its reverse (54300463533), we get a palindrome (87836863878).

The spelling of 33536400345 in words is "thirty-three billion, five hundred thirty-six million, four hundred thousand, three hundred forty-five".