146043792880164 has 405 divisors, whose sum is σ = 411959750172201. Its totient is φ = 45106490787840.

The previous prime is 146043792880123. The next prime is 146043792880171. The reversal of 146043792880164 is 461088297340641.

The square root of 146043792880164 is 12084858.

It is a perfect power (a square), and thus also a powerful number.

146043792880164 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 4 + 379 + 28 + 80 + 164 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 36756840558564 + 109286952321600 = 6062742^2 + 10454040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 269951557734 + ... + 269951558274.

Almost surely, 2^{146043792880164} is an apocalyptic number.

146043792880164 is the 12084858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146043792880164

146043792880164 is an abundant number, since it is smaller than the sum of its proper divisors (265915957292037).

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

146043792880164 is an frugal number, since it uses more digits than its factorization.

146043792880164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 146043792880164 in words is "one hundred forty-six trillion, forty-three billion, seven hundred ninety-two million, eight hundred eighty thousand, one hundred sixty-four".