146215342944 has 288 divisors, whose sum is σ = 472941594720. Its totient is φ = 43912028160.

The previous prime is 146215342913. The next prime is 146215342967. The reversal of 146215342944 is 449243512641.

146215342944 is a `hidden beast` number, since 1 + 4 + 6 + 21 + 534 + 2 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 146215342944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11807284 + ... + 11819660.

It is an arithmetic number, because the mean of its divisors is an integer number (1642158315).

Almost surely, 2^146215342944 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 146215342944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236470797360).

146215342944 is an abundant number, since it is smaller than the sum of its proper divisors (326726251776).

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

146215342944 is a wasteful number, since it uses less digits than its factorization.

146215342944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12531 (or 12506 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 146215342944 in words is "one hundred forty-six billion, two hundred fifteen million, three hundred forty-two thousand, nine hundred forty-four".