34502261615145 has 48 divisors (see below), whose sum is σ = 60421856034384. Its totient is φ = 18211227840000.

The previous prime is 34502261615141. The next prime is 34502261615177. The reversal of 34502261615145 is 54151616220543.

34502261615145 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 2 + 2 + 616 + 15 + 14 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5072819253264 + 29429442361881 = 2252292^2 + 5424891^2 .

It is not a de Polignac number, because 34502261615145 - 2² = 34502261615141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34502261615145.

It is not an unprimeable number, because it can be changed into a prime (34502261615141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9018475 + ... + 12261215.

It is an arithmetic number, because the mean of its divisors is an integer number (1258788667383).

Almost surely, 2^{34502261615145} is an apocalyptic number.

It is an amenable number.

34502261615145 is a deficient number, since it is larger than the sum of its proper divisors (25919594419239).

34502261615145 is a wasteful number, since it uses less digits than its factorization.

34502261615145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245194 (or 3245191 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 34502261615145 its reverse (54151616220543), we get a palindrome (88653877835688).

The spelling of 34502261615145 in words is "thirty-four trillion, five hundred two billion, two hundred sixty-one million, six hundred fifteen thousand, one hundred forty-five".