345993573150288 has 480 divisors, whose sum is σ = 1186268020654080. Its totient is φ = 95534665712640.

The previous prime is 345993573150287. The next prime is 345993573150343. The reversal of 345993573150288 is 882051375399543.

345993573150288 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 9 + 3 + 5 + 7 + 31 + 502 + 88 = 666.

It is a super-2 number, since 2×345993573150288² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345993573150287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613084948 + ... + 613649036.

It is an arithmetic number, because the mean of its divisors is an integer number (2471391709696).

Almost surely, 2^{345993573150288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345993573150288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593134010327040).

345993573150288 is an abundant number, since it is smaller than the sum of its proper divisors (840274447503792).

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

345993573150288 is a wasteful number, since it uses less digits than its factorization.

345993573150288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564877 (or 564859 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 345993573150288 in words is "three hundred forty-five trillion, nine hundred ninety-three billion, five hundred seventy-three million, one hundred fifty thousand, two hundred eighty-eight".