146914729344 has 512 divisors, whose sum is σ = 482060160000. Its totient is φ = 43838226432.

The previous prime is 146914729343. The next prime is 146914729391. The reversal of 146914729344 is 443927419641.

It is a happy number.

146914729344 is a `hidden beast` number, since 1 + 46 + 9 + 1 + 472 + 93 + 44 = 666.

146914729344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146914729343) 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, 134413662 + ... + 134414754.

It is an arithmetic number, because the mean of its divisors is an integer number (941523750).

Almost surely, 2^146914729344 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 146914729344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241030080000).

146914729344 is an abundant number, since it is smaller than the sum of its proper divisors (335145430656).

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

146914729344 is a wasteful number, since it uses less digits than its factorization.

146914729344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1229 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 146914729344 in words is "one hundred forty-six billion, nine hundred fourteen million, seven hundred twenty-nine thousand, three hundred forty-four".