146161720887840 has 1536 divisors, whose sum is σ = 640794144614400. Its totient is φ = 30339508469760.

The previous prime is 146161720887751. The next prime is 146161720887841. The reversal of 146161720887840 is 48788027161641.

146161720887840 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 617 + 2 + 0 + 8 + 8 + 7 + 8 + 4 + 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 (146161720887841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43487567760 + ... + 43487571120.

It is an arithmetic number, because the mean of its divisors is an integer number (417183687900).

Almost surely, 2^{146161720887840} is an apocalyptic number.

146161720887840 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 146161720887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320397072307200).

146161720887840 is an abundant number, since it is smaller than the sum of its proper divisors (494632423726560).

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

146161720887840 is a wasteful number, since it uses less digits than its factorization.

146161720887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 146161720887840 in words is "one hundred forty-six trillion, one hundred sixty-one billion, seven hundred twenty million, eight hundred eighty-seven thousand, eight hundred forty".