146169785664 has 336 divisors, whose sum is σ = 488590336000. Its totient is φ = 40917685248.

The previous prime is 146169785623. The next prime is 146169785669. The reversal of 146169785664 is 466587961641.

It is a happy number.

146169785664 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 69 + 7 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146169785669) 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, 53757297 + ... + 53760015.

Almost surely, 2^146169785664 is an apocalyptic number.

146169785664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146169785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244295168000).

146169785664 is an abundant number, since it is smaller than the sum of its proper divisors (342420550336).

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

146169785664 is a wasteful number, since it uses less digits than its factorization.

146169785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 2997 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 146169785664 in words is "one hundred forty-six billion, one hundred sixty-nine million, seven hundred eighty-five thousand, six hundred sixty-four".