345525324350010 has 256 divisors, whose sum is σ = 979123342417920. Its totient is φ = 76387055754240.

The previous prime is 345525324349981. The next prime is 345525324350039. The reversal of 345525324350010 is 10053423525543.

It is an interprime number because it is at equal distance from previous prime (345525324349981) and next prime (345525324350039).

It is a super-2 number, since 2×345525324350010² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1375389732 + ... + 1375640928.

It is an arithmetic number, because the mean of its divisors is an integer number (3824700556320).

Almost surely, 2^{345525324350010} is an apocalyptic number.

345525324350010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345525324350010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489561671208960).

345525324350010 is an abundant number, since it is smaller than the sum of its proper divisors (633598018067910).

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

345525324350010 is a wasteful number, since it uses less digits than its factorization.

345525324350010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252301.

The product of its (nonzero) digits is 1080000, while the sum is 42.

Adding to 345525324350010 its reverse (10053423525543), we get a palindrome (355578747875553).

The spelling of 345525324350010 in words is "three hundred forty-five trillion, five hundred twenty-five billion, three hundred twenty-four million, three hundred fifty thousand, ten".