348277105822464 has 3888 divisors, whose sum is σ = 1421435041108992. Its totient is φ = 79976659156992.

The previous prime is 348277105822453. The next prime is 348277105822487. The reversal of 348277105822464 is 464228501772843.

348277105822464 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 7 + 7 + 1 + 0 + 582 + 2 + 46 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 786178568227 + ... + 786178568669.

It is an arithmetic number, because the mean of its divisors is an integer number (365595432384).

Almost surely, 2^{348277105822464} is an apocalyptic number.

348277105822464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348277105822464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710717520554496).

348277105822464 is an abundant number, since it is smaller than the sum of its proper divisors (1073157935286528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348277105822464 is a wasteful number, since it uses less digits than its factorization.

348277105822464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 348277105822464 in words is "three hundred forty-eight trillion, two hundred seventy-seven billion, one hundred five million, eight hundred twenty-two thousand, four hundred sixty-four".