381564686401 has 32 divisors (see below), whose sum is σ = 426840440832. Its totient is φ = 339402190080.

The previous prime is 381564686359. The next prime is 381564686407. The reversal of 381564686401 is 104686465183.

It is a cyclic number.

It is not a de Polignac number, because 381564686401 - 2⁹ = 381564685889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381564686407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11550630 + ... + 11583616.

It is an arithmetic number, because the mean of its divisors is an integer number (13338763776).

Almost surely, 2^381564686401 is an apocalyptic number.

381564686401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

381564686401 is a deficient number, since it is larger than the sum of its proper divisors (45275754431).

381564686401 is a wasteful number, since it uses less digits than its factorization.

381564686401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33549.

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 381564686401 in words is "three hundred eighty-one billion, five hundred sixty-four million, six hundred eighty-six thousand, four hundred one".