33400006673337 has 24 divisors (see below), whose sum is σ = 48581804544000. Its totient is φ = 22111054364448.

The previous prime is 33400006673291. The next prime is 33400006673461. The reversal of 33400006673337 is 73337660000433.

It is not a de Polignac number, because 33400006673337 - 2¹¹ = 33400006671289 is a prime.

It is a super-2 number, since 2×33400006673337² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33400006673292 and 33400006673301.

It is not an unprimeable number, because it can be changed into a prime (33400006673837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329114 + ... + 8280492.

It is an arithmetic number, because the mean of its divisors is an integer number (2024241856000).

Almost surely, 2^{33400006673337} is an apocalyptic number.

It is an amenable number.

33400006673337 is a deficient number, since it is larger than the sum of its proper divisors (15181797870663).

33400006673337 is a wasteful number, since it uses less digits than its factorization.

33400006673337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955117 (or 6955114 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 45.

The spelling of 33400006673337 in words is "thirty-three trillion, four hundred billion, six million, six hundred seventy-three thousand, three hundred thirty-seven".