264801487338801 has 48 divisors (see below), whose sum is σ = 463055450143104. Its totient is φ = 142349890540032.

The previous prime is 264801487338797. The next prime is 264801487338859. The reversal of 264801487338801 is 108833784108462.

It is a happy number.

264801487338801 is a `hidden beast` number, since 2 + 6 + 4 + 80 + 148 + 7 + 338 + 80 + 1 = 666.

It is not a de Polignac number, because 264801487338801 - 2² = 264801487338797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (264801487338701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53492271 + ... + 58232516.

It is an arithmetic number, because the mean of its divisors is an integer number (9646988544648).

Almost surely, 2^{264801487338801} is an apocalyptic number.

264801487338801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

264801487338801 is a deficient number, since it is larger than the sum of its proper divisors (198253962804303).

264801487338801 is a wasteful number, since it uses less digits than its factorization.

264801487338801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111727030 (or 111727027 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 264801487338801 in words is "two hundred sixty-four trillion, eight hundred one billion, four hundred eighty-seven million, three hundred thirty-eight thousand, eight hundred one".