83464228378413 has 20 divisors (see below), whose sum is σ = 125824994884380. Its totient is φ = 55132334335872.

The previous prime is 83464228378381. The next prime is 83464228378417. The reversal of 83464228378413 is 31487382246438.

83464228378413 is a `hidden beast` number, since 8 + 3 + 46 + 422 + 83 + 7 + 84 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75502248775209 + 7961979603204 = 8689203^2 + 2821698^2 .

It is not a de Polignac number, because 83464228378413 - 2⁵ = 83464228378381 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83464228378417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4726700220 + ... + 4726717877.

It is an arithmetic number, because the mean of its divisors is an integer number (6291249744219).

Almost surely, 2^{83464228378413} is an apocalyptic number.

It is an amenable number.

83464228378413 is a deficient number, since it is larger than the sum of its proper divisors (42360766505967).

83464228378413 is a wasteful number, since it uses less digits than its factorization.

83464228378413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453418218 (or 9453418209 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 83464228378413 in words is "eighty-three trillion, four hundred sixty-four billion, two hundred twenty-eight million, three hundred seventy-eight thousand, four hundred thirteen".