146224856064 has 1056 divisors, whose sum is σ = 517494700800. Its totient is φ = 36415733760.

The previous prime is 146224856039. The next prime is 146224856081. The reversal of 146224856064 is 460658422641.

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

It is a congruent number.

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, 3400578027 + ... + 3400578069.

It is an arithmetic number, because the mean of its divisors is an integer number (490051800).

Almost surely, 2^146224856064 is an apocalyptic number.

146224856064 is a gapful number since it is divisible by the number (14) 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 146224856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258747350400).

146224856064 is an abundant number, since it is smaller than the sum of its proper divisors (371269844736).

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

146224856064 is a wasteful number, since it uses less digits than its factorization.

146224856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 146224856064 in words is "one hundred forty-six billion, two hundred twenty-four million, eight hundred fifty-six thousand, sixty-four".