146918944972800 has 8064 divisors, whose sum is σ = 774684283699200. Its totient is φ = 26486872473600.

The previous prime is 146918944972799. The next prime is 146918944972861. The reversal of 146918944972800 is 8279449819641.

146918944972800 is a `hidden beast` number, since 1 + 46 + 9 + 1 + 8 + 94 + 497 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1156842086337 + ... + 1156842086463.

Almost surely, 2^{146918944972800} is an apocalyptic number.

146918944972800 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 146918944972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387342141849600).

146918944972800 is an abundant number, since it is smaller than the sum of its proper divisors (627765338726400).

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

146918944972800 is a wasteful number, since it uses less digits than its factorization.

146918944972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 146918944972800 in words is "one hundred forty-six trillion, nine hundred eighteen billion, nine hundred forty-four million, nine hundred seventy-two thousand, eight hundred".