145210354352046 has 64 divisors (see below), whose sum is σ = 331267996200960. Its totient is φ = 47121759472320.

The previous prime is 145210354351903. The next prime is 145210354352047. The reversal of 145210354352046 is 640253453012541.

145210354352046 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 1 + 0 + 3 + 5 + 435 + 204 + 6 = 666.

It is a super-3 number, since 3×145210354352046³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 145210354351992 and 145210354352010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145210354352047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69188046 + ... + 71255921.

It is an arithmetic number, because the mean of its divisors is an integer number (5176062440640).

Almost surely, 2^{145210354352046} is an apocalyptic number.

145210354352046 is an abundant number, since it is smaller than the sum of its proper divisors (186057641848914).

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

145210354352046 is a wasteful number, since it uses less digits than its factorization.

145210354352046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140444486 (or 140444480 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 145210354352046 in words is "one hundred forty-five trillion, two hundred ten billion, three hundred fifty-four million, three hundred fifty-two thousand, forty-six".