146763560064 has 768 divisors, whose sum is σ = 483492240000. Its totient is φ = 39209533440.

The previous prime is 146763560017. The next prime is 146763560113. The reversal of 146763560064 is 460065367641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 146763559995 and 146763560022.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 984990262 + ... + 984990410.

Almost surely, 2^146763560064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146763560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241746120000).

146763560064 is an abundant number, since it is smaller than the sum of its proper divisors (336728679936).

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

146763560064 is a wasteful number, since it uses less digits than its factorization.

146763560064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 146763560064 in words is "one hundred forty-six billion, seven hundred sixty-three million, five hundred sixty thousand, sixty-four".