341488270835712 has 2432 divisors, whose sum is σ = 1371627402055680. Its totient is φ = 81088814776320.

The previous prime is 341488270835671. The next prime is 341488270835753. The reversal of 341488270835712 is 217538072884143.

341488270835712 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 8 + 8 + 270 + 8 + 357 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (341488270835671) and next prime (341488270835753).

It is a super-2 number, since 2×341488270835712² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 341488270835712.

It is a congruent number.

It is an unprimeable number.

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 in 127 ways as a sum of consecutive naturals, for example, 1112339644263 + ... + 1112339644569.

Almost surely, 2^{341488270835712} is an apocalyptic number.

341488270835712 is a gapful number since it is divisible by the number (32) 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 341488270835712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685813701027840).

341488270835712 is an abundant number, since it is smaller than the sum of its proper divisors (1030139131219968).

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

341488270835712 is a wasteful number, since it uses less digits than its factorization.

341488270835712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 341488270835712 in words is "three hundred forty-one trillion, four hundred eighty-eight billion, two hundred seventy million, eight hundred thirty-five thousand, seven hundred twelve".