146314572456 has 128 divisors (see below), whose sum is σ = 396307296000. Its totient is φ = 44748177408.

The previous prime is 146314572451. The next prime is 146314572479. The reversal of 146314572456 is 654275413641.

It is a super-2 number, since 2×146314572456² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146314572451) 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 31 ways as a sum of consecutive naturals, for example, 54942181 + ... + 54944843.

It is an arithmetic number, because the mean of its divisors is an integer number (3096150750).

Almost surely, 2^146314572456 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 146314572456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198153648000).

146314572456 is an abundant number, since it is smaller than the sum of its proper divisors (249992723544).

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

146314572456 is a wasteful number, since it uses less digits than its factorization.

146314572456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3679 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 146314572456 in words is "one hundred forty-six billion, three hundred fourteen million, five hundred seventy-two thousand, four hundred fifty-six".