146499065856 has 768 divisors, whose sum is σ = 517786214400. Its totient is φ = 40343961600.

The previous prime is 146499065849. The next prime is 146499065857. The reversal of 146499065856 is 658560994641.

146499065856 is a `hidden beast` number, since 1 + 4 + 6 + 49 + 9 + 0 + 6 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 146499065793 and 146499065802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146499065857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767010721 + ... + 767010911.

It is an arithmetic number, because the mean of its divisors is an integer number (674200800).

Almost surely, 2^146499065856 is an apocalyptic number.

146499065856 is a gapful number since it is divisible by the number (16) 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 146499065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258893107200).

146499065856 is an abundant number, since it is smaller than the sum of its proper divisors (371287148544).

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

146499065856 is a wasteful number, since it uses less digits than its factorization.

146499065856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 146499065856 in words is "one hundred forty-six billion, four hundred ninety-nine million, sixty-five thousand, eight hundred fifty-six".