146394408454560 has 1152 divisors, whose sum is σ = 587535478193664. Its totient is φ = 32496724869120.

The previous prime is 146394408454529. The next prime is 146394408454561. The reversal of 146394408454560 is 65454804493641.

146394408454560 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 9 + 4 + 4 + 0 + 84 + 545 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (146394408454561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123331430287 + ... + 123331431473.

It is an arithmetic number, because the mean of its divisors is an integer number (510013435932).

Almost surely, 2^{146394408454560} is an apocalyptic number.

146394408454560 is a gapful number since it is divisible by the number (10) 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 146394408454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293767739096832).

146394408454560 is an abundant number, since it is smaller than the sum of its proper divisors (441141069739104).

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

146394408454560 is a wasteful number, since it uses less digits than its factorization.

146394408454560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 146394408454560 in words is "one hundred forty-six trillion, three hundred ninety-four billion, four hundred eight million, four hundred fifty-four thousand, five hundred sixty".