33145363620960 has 96 divisors (see below), whose sum is σ = 104409015282432. Its totient is φ = 8838668828160.

The previous prime is 33145363620949. The next prime is 33145363621049. The reversal of 33145363620960 is 6902636354133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52190125 + ... + 52821395.

It is an arithmetic number, because the mean of its divisors is an integer number (1087593909192).

Almost surely, 2^{33145363620960} is an apocalyptic number.

33145363620960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33145363620960 is an abundant number, since it is smaller than the sum of its proper divisors (71263651661472).

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

33145363620960 is a wasteful number, since it uses less digits than its factorization.

33145363620960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740676 (or 740668 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 51.

The spelling of 33145363620960 in words is "thirty-three trillion, one hundred forty-five billion, three hundred sixty-three million, six hundred twenty thousand, nine hundred sixty".