146797705641600 has 1920 divisors, whose sum is σ = 598870076112000. Its totient is φ = 35181221806080.

The previous prime is 146797705641599. The next prime is 146797705641641. The reversal of 146797705641600 is 6146507797641.

146797705641600 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 9 + 7 + 7 + 0 + 564 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 50567585749 + ... + 50567588651.

It is an arithmetic number, because the mean of its divisors is an integer number (311911497975).

Almost surely, 2^{146797705641600} is an apocalyptic number.

146797705641600 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 146797705641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299435038056000).

146797705641600 is an abundant number, since it is smaller than the sum of its proper divisors (452072370470400).

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

146797705641600 is a wasteful number, since it uses less digits than its factorization.

146797705641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 146797705641600 in words is "one hundred forty-six trillion, seven hundred ninety-seven billion, seven hundred five million, six hundred forty-one thousand, six hundred".