146061670221000 has 96 divisors (see below), whose sum is σ = 493688445377400. Its totient is φ = 38949778723200.

The previous prime is 146061670220993. The next prime is 146061670221007. The reversal of 146061670221000 is 122076160641.

146061670221000 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 616 + 7 + 0 + 22 + 10 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146061670220993) and next prime (146061670221007).

It can be written as a sum of positive squares in 4 ways, for example, as 89037454353156 + 57024215867844 = 9435966^2 + 7551438^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146061670221007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8114528235 + ... + 8114546234.

Almost surely, 2^{146061670221000} is an apocalyptic number.

146061670221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146061670221000 is an abundant number, since it is smaller than the sum of its proper divisors (347626775156400).

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

146061670221000 is a wasteful number, since it uses less digits than its factorization.

146061670221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16229074496 (or 16229074479 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 146061670221000 in words is "one hundred forty-six trillion, sixty-one billion, six hundred seventy million, two hundred twenty-one thousand".