146858280951168 has 320 divisors, whose sum is σ = 444525269760000. Its totient is φ = 48115493821440.

The previous prime is 146858280951167. The next prime is 146858280951191. The reversal of 146858280951168 is 861159082858641.

146858280951168 is a `hidden beast` number, since 1 + 4 + 6 + 85 + 8 + 28 + 0 + 9 + 511 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 146858280951096 and 146858280951105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146858280951167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4961581233 + ... + 4961610831.

It is an arithmetic number, because the mean of its divisors is an integer number (1389141468000).

Almost surely, 2^{146858280951168} is an apocalyptic number.

146858280951168 is a gapful number since it is divisible by the number (18) 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 146858280951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222262634880000).

146858280951168 is an abundant number, since it is smaller than the sum of its proper divisors (297666988808832).

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

146858280951168 is an equidigital number, since it uses as much as digits as its factorization.

146858280951168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37795 (or 37774 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 72.

The spelling of 146858280951168 in words is "one hundred forty-six trillion, eight hundred fifty-eight billion, two hundred eighty million, nine hundred fifty-one thousand, one hundred sixty-eight".