341218029315072 has 2112 divisors, whose sum is σ = 1201340425420800. Its totient is φ = 85238828236800.

The previous prime is 341218029315067. The next prime is 341218029315077. The reversal of 341218029315072 is 270513920812143.

It is an interprime number because it is at equal distance from previous prime (341218029315067) and next prime (341218029315077).

It is a super-2 number, since 2×341218029315072² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (341218029315077) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 977702089554 + ... + 977702089902.

Almost surely, 2^{341218029315072} is an apocalyptic number.

341218029315072 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 341218029315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600670212710400).

341218029315072 is an abundant number, since it is smaller than the sum of its proper divisors (860122396105728).

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

341218029315072 is a wasteful number, since it uses less digits than its factorization.

341218029315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 341218029315072 in words is "three hundred forty-one trillion, two hundred eighteen billion, twenty-nine million, three hundred fifteen thousand, seventy-two".