146804343840 has 1152 divisors, whose sum is σ = 658500917760. Its totient is φ = 29889699840.

The previous prime is 146804343839. The next prime is 146804343841. The reversal of 146804343840 is 48343408641.

146804343840 is a `hidden beast` number, since 146 + 8 + 0 + 434 + 38 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (146804343839) and next prime (146804343841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (146804343841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 193928742 + ... + 193929498.

It is an arithmetic number, because the mean of its divisors is an integer number (571615380).

Almost surely, 2^146804343840 is an apocalyptic number.

146804343840 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 146804343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329250458880).

146804343840 is an abundant number, since it is smaller than the sum of its proper divisors (511696573920).

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

146804343840 is a wasteful number, since it uses less digits than its factorization.

146804343840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 146804343840 in words is "one hundred forty-six billion, eight hundred four million, three hundred forty-three thousand, eight hundred forty".