88380505382401 has 2 divisors, whose sum is σ = 88380505382402. Its totient is φ = 88380505382400.

The previous prime is 88380505382387. The next prime is 88380505382473. The reversal of 88380505382401 is 10428350508388.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83963043028225 + 4417462354176 = 9163135^2 + 2101776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-88380505382401 is a prime.

It is a super-2 number, since 2×88380505382401² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (88380505382501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44190252691200 + 44190252691201.

It is an arithmetic number, because the mean of its divisors is an integer number (44190252691201).

Almost surely, 2^{88380505382401} is an apocalyptic number.

It is an amenable number.

88380505382401 is a deficient number, since it is larger than the sum of its proper divisors (1).

88380505382401 is an equidigital number, since it uses as much as digits as its factorization.

88380505382401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7372800, while the sum is 55.

The spelling of 88380505382401 in words is "eighty-eight trillion, three hundred eighty billion, five hundred five million, three hundred eighty-two thousand, four hundred one".