146681811360 has 960 divisors, whose sum is σ = 615684706560. Its totient is φ = 32188907520.

The previous prime is 146681811349. The next prime is 146681811379. The reversal of 146681811360 is 63118186641.

146681811360 is a `hidden beast` number, since 1 + 466 + 8 + 18 + 113 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 298740715 + ... + 298741205.

It is an arithmetic number, because the mean of its divisors is an integer number (641338236).

Almost surely, 2^146681811360 is an apocalyptic number.

146681811360 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 146681811360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307842353280).

146681811360 is an abundant number, since it is smaller than the sum of its proper divisors (469002895200).

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

146681811360 is a wasteful number, since it uses less digits than its factorization.

146681811360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 146681811360 in words is "one hundred forty-six billion, six hundred eighty-one million, eight hundred eleven thousand, three hundred sixty".