264401434604063 has 16 divisors (see below), whose sum is σ = 269137783627776. Its totient is φ = 259702054545120.

The previous prime is 264401434604009. The next prime is 264401434604117. The reversal of 264401434604063 is 360406434104462.

264401434604063 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264401434604009) and next prime (264401434604117).

It is a cyclic number.

It is not a de Polignac number, because 264401434604063 - 2³² = 264397139636767 is a prime.

It is a super-2 number, since 2×264401434604063² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264401434603999 and 264401434604017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264401434604663) 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, 1599955106 + ... + 1600120352.

It is an arithmetic number, because the mean of its divisors is an integer number (16821111476736).

Almost surely, 2^{264401434604063} is an apocalyptic number.

264401434604063 is a deficient number, since it is larger than the sum of its proper divisors (4736349023713).

264401434604063 is a wasteful number, since it uses less digits than its factorization.

264401434604063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276934.

The product of its (nonzero) digits is 3981312, while the sum is 47.

The spelling of 264401434604063 in words is "two hundred sixty-four trillion, four hundred one billion, four hundred thirty-four million, six hundred four thousand, sixty-three".