345400151160 has 512 divisors, whose sum is σ = 1141641216000. Its totient is φ = 83375308800.

The previous prime is 345400151153. The next prime is 345400151231. The reversal of 345400151160 is 61151004543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 480389281 + ... + 480389999.

It is an arithmetic number, because the mean of its divisors is an integer number (2229768000).

Almost surely, 2^345400151160 is an apocalyptic number.

345400151160 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 345400151160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570820608000).

345400151160 is an abundant number, since it is smaller than the sum of its proper divisors (796241064840).

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

345400151160 is a wasteful number, since it uses less digits than its factorization.

345400151160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 345400151160 in words is "three hundred forty-five billion, four hundred million, one hundred fifty-one thousand, one hundred sixty".