345009696192 has 336 divisors, whose sum is σ = 1181037637920. Its totient is φ = 98475761664.

The previous prime is 345009696173. The next prime is 345009696247. The reversal of 345009696192 is 291696900543.

345009696192 is a `hidden beast` number, since 3 + 450 + 0 + 96 + 96 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×345009696192² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150460998 + ... + 150463290.

It is an arithmetic number, because the mean of its divisors is an integer number (3514992970).

Almost surely, 2^345009696192 is an apocalyptic number.

345009696192 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 345009696192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590518818960).

345009696192 is an abundant number, since it is smaller than the sum of its proper divisors (836027941728).

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

345009696192 is a wasteful number, since it uses less digits than its factorization.

345009696192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 345009696192 in words is "three hundred forty-five billion, nine million, six hundred ninety-six thousand, one hundred ninety-two".