146870345706516 has 72 divisors (see below), whose sum is σ = 375528586665960. Its totient is φ = 48393608288256.

The previous prime is 146870345706509. The next prime is 146870345706583. The reversal of 146870345706516 is 615607543078641.

146870345706516 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 7 + 0 + 3 + 4 + 570 + 6 + 51 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6466899860100 + 140403445846416 = 2543010^2 + 11849196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5645610 + ... + 18044766.

It is an arithmetic number, because the mean of its divisors is an integer number (5215674814805).

Almost surely, 2^{146870345706516} 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 146870345706516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187764293332980).

146870345706516 is an abundant number, since it is smaller than the sum of its proper divisors (228658240959444).

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

146870345706516 is a wasteful number, since it uses less digits than its factorization.

146870345706516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402953 (or 12402948 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 146870345706516 in words is "one hundred forty-six trillion, eight hundred seventy billion, three hundred forty-five million, seven hundred six thousand, five hundred sixteen".