146207319216 has 640 divisors, whose sum is σ = 494475018240. Its totient is φ = 36279705600.

The previous prime is 146207319211. The next prime is 146207319229. The reversal of 146207319216 is 612913702641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (146207319211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 300220125 + ... + 300220611.

It is an arithmetic number, because the mean of its divisors is an integer number (772617216).

Almost surely, 2^146207319216 is an apocalyptic number.

146207319216 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 146207319216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247237509120).

146207319216 is an abundant number, since it is smaller than the sum of its proper divisors (348267699024).

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

146207319216 is a wasteful number, since it uses less digits than its factorization.

146207319216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 146207319216 in words is "one hundred forty-six billion, two hundred seven million, three hundred nineteen thousand, two hundred sixteen".