363827916401 has 8 divisors (see below), whose sum is σ = 364081497000. Its totient is φ = 363574408320.

The previous prime is 363827916383. The next prime is 363827916451. The reversal of 363827916401 is 104619728363.

It can be written as a sum of positive squares in 4 ways, for example, as 68162766400 + 295665150001 = 261080^2 + 543751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-363827916401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 363827916401.

It is not an unprimeable number, because it can be changed into a prime (363827916451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13202405 + ... + 13229933.

It is an arithmetic number, because the mean of its divisors is an integer number (45510187125).

Almost surely, 2^363827916401 is an apocalyptic number.

It is an amenable number.

363827916401 is a deficient number, since it is larger than the sum of its proper divisors (253580599).

363827916401 is a wasteful number, since it uses less digits than its factorization.

363827916401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36259.

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 363827916401 in words is "three hundred sixty-three billion, eight hundred twenty-seven million, nine hundred sixteen thousand, four hundred one".