345125323515840 has 448 divisors, whose sum is σ = 1319848865341440. Its totient is φ = 74641731932160.

The previous prime is 345125323515839. The next prime is 345125323515883. The reversal of 345125323515840 is 48515323521543.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×345125323515840² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101881989 + ... + 105214971.

It is an arithmetic number, because the mean of its divisors is an integer number (2946091217280).

Almost surely, 2^{345125323515840} is an apocalyptic number.

345125323515840 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 345125323515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659924432670720).

345125323515840 is an abundant number, since it is smaller than the sum of its proper divisors (974723541825600).

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

345125323515840 is a wasteful number, since it uses less digits than its factorization.

345125323515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333840 (or 3333830 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 345125323515840 in words is "three hundred forty-five trillion, one hundred twenty-five billion, three hundred twenty-three million, five hundred fifteen thousand, eight hundred forty".