345127251820 has 96 divisors (see below), whose sum is σ = 797333870592. Its totient is φ = 124698882048.

The previous prime is 345127251719. The next prime is 345127251841. The reversal of 345127251820 is 28152721543.

It is a super-2 number, since 2×345127251820² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5245044 + ... + 5310436.

It is an arithmetic number, because the mean of its divisors is an integer number (8305561152).

Almost surely, 2^345127251820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345127251820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398666935296).

345127251820 is an abundant number, since it is smaller than the sum of its proper divisors (452206618772).

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

345127251820 is a wasteful number, since it uses less digits than its factorization.

345127251820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65851 (or 65849 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 345127251820 in words is "three hundred forty-five billion, one hundred twenty-seven million, two hundred fifty-one thousand, eight hundred twenty".