345346458251760 has 640 divisors, whose sum is σ = 1388667005337600. Its totient is φ = 77241074549760.

The previous prime is 345346458251741. The next prime is 345346458251797. The reversal of 345346458251760 is 67152854643543.

It is a happy number.

345346458251760 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 4 + 6 + 4 + 58 + 2 + 517 + 60 = 666.

It is a super-2 number, since 2×345346458251760² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3674672451 + ... + 3674766429.

It is an arithmetic number, because the mean of its divisors is an integer number (2169792195840).

Almost surely, 2^{345346458251760} is an apocalyptic number.

345346458251760 is a gapful number since it is divisible by the number (30) 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 345346458251760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694333502668800).

345346458251760 is an abundant number, since it is smaller than the sum of its proper divisors (1043320547085840).

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

345346458251760 is a wasteful number, since it uses less digits than its factorization.

345346458251760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99226 (or 99214 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 63.

The spelling of 345346458251760 in words is "three hundred forty-five trillion, three hundred forty-six billion, four hundred fifty-eight million, two hundred fifty-one thousand, seven hundred sixty".