33145300405664 has 96 divisors (see below), whose sum is σ = 66386144534976. Its totient is φ = 16288373248000.

The previous prime is 33145300405663. The next prime is 33145300405699. The reversal of 33145300405664 is 46650400354133.

It is a super-2 number, since 2×33145300405664² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33145300405661) 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, 205948394 + ... + 206109270.

It is an arithmetic number, because the mean of its divisors is an integer number (691522338906).

Almost surely, 2^{33145300405664} is an apocalyptic number.

It is an amenable number.

33145300405664 is an abundant number, since it is smaller than the sum of its proper divisors (33240844129312).

33145300405664 is a wasteful number, since it uses less digits than its factorization.

33145300405664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161478 (or 161470 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

Adding to 33145300405664 its reverse (46650400354133), we get a palindrome (79795700759797).

The spelling of 33145300405664 in words is "thirty-three trillion, one hundred forty-five billion, three hundred million, four hundred five thousand, six hundred sixty-four".