33145916048001 has 27 divisors (see below), whose sum is σ = 48082958463267. Its totient is φ = 22002823938240.

The previous prime is 33145916047991. The next prime is 33145916048009. The reversal of 33145916048001 is 10084061954133.

The square root of 33145916048001 is 5757249.

It is a perfect power (a square), and thus also a powerful number.

33145916048001 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 5 + 9 + 160 + 480 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24928061825601 + 8217854222400 = 4992801^2 + 2866680^2 .

It is not a de Polignac number, because 33145916048001 - 2¹⁷ = 33145915916929 is a prime.

It is a super-2 number, since 2×33145916048001² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33145916048009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4162487046 + ... + 4162495008.

Almost surely, 2^{33145916048001} is an apocalyptic number.

33145916048001 is the 5757249-th square number.

33145916048001 is the 2878625-th centered octagonal number.

It is an amenable number.

33145916048001 is a deficient number, since it is larger than the sum of its proper divisors (14937042415266).

33145916048001 is an frugal number, since it uses more digits than its factorization.

33145916048001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16414 (or 8207 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 33145916048001 in words is "thirty-three trillion, one hundred forty-five billion, nine hundred sixteen million, forty-eight thousand, one".