146326994166528 has 216 divisors, whose sum is σ = 503361957784560. Its totient is φ = 41807712522240.

The previous prime is 146326994166523. The next prime is 146326994166539. The reversal of 146326994166528 is 825661499623641.

It is a happy number.

146326994166528 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 2 + 6 + 9 + 94 + 1 + 6 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×146326994166528² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (146326994166523) 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, 215681653 + ... + 216359028.

Almost surely, 2^{146326994166528} is an apocalyptic number.

146326994166528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146326994166528 is an abundant number, since it is smaller than the sum of its proper divisors (357034963618032).

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

146326994166528 is an equidigital number, since it uses as much as digits as its factorization.

146326994166528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432040720 (or 432040693 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 146326994166528 in words is "one hundred forty-six trillion, three hundred twenty-six billion, nine hundred ninety-four million, one hundred sixty-six thousand, five hundred twenty-eight".