345009965110272 has 6336 divisors, whose sum is σ = 1488847039764480. Its totient is φ = 78798445608960.

The previous prime is 345009965110267. The next prime is 345009965110297. The reversal of 345009965110272 is 272011569900543.

345009965110272 is a `hidden beast` number, since 3 + 4 + 50 + 0 + 9 + 9 + 6 + 511 + 0 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a super-2 number, since 2×345009965110272² (a number of 30 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 575 ways as a sum of consecutive naturals, for example, 8023487560683 + ... + 8023487560725.

It is an arithmetic number, because the mean of its divisors is an integer number (234982171680).

Almost surely, 2^{345009965110272} is an apocalyptic number.

345009965110272 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 345009965110272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744423519882240).

345009965110272 is an abundant number, since it is smaller than the sum of its proper divisors (1143837074654208).

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

345009965110272 is a wasteful number, since it uses less digits than its factorization.

345009965110272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 345009965110272 in words is "three hundred forty-five trillion, nine billion, nine hundred sixty-five million, one hundred ten thousand, two hundred seventy-two".