345101524992 has 168 divisors, whose sum is σ = 1139314974096. Its totient is φ = 98600288256.

The previous prime is 345101524987. The next prime is 345101525003. The reversal of 345101524992 is 299425101543.

It is a happy number.

345101524992 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 0 + 152 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181758 + ... + 850434.

Almost surely, 2^345101524992 is an apocalyptic number.

345101524992 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 345101524992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569657487048).

345101524992 is an abundant number, since it is smaller than the sum of its proper divisors (794213449104).

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

345101524992 is an equidigital number, since it uses as much as digits as its factorization.

345101524992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668716 (or 668689 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 345101524992 in words is "three hundred forty-five billion, one hundred one million, five hundred twenty-four thousand, nine hundred ninety-two".