146163916800 has 1176 divisors, whose sum is σ = 599513604120. Its totient is φ = 35035545600.

The previous prime is 146163916777. The next prime is 146163916919. The reversal of 146163916800 is 8619361641.

146163916800 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 639 + 1 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1642291156 + ... + 1642291244.

Almost surely, 2^146163916800 is an apocalyptic number.

146163916800 is a gapful number since it is divisible by the number (10) 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 146163916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299756802060).

146163916800 is an abundant number, since it is smaller than the sum of its proper divisors (453349687320).

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

146163916800 is an frugal number, since it uses more digits than its factorization.

146163916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 146163916800 in words is "one hundred forty-six billion, one hundred sixty-three million, nine hundred sixteen thousand, eight hundred".