146485775587680 has 1152 divisors, whose sum is σ = 528266207379456. Its totient is φ = 38328837120000.

The previous prime is 146485775587651. The next prime is 146485775587703. The reversal of 146485775587680 is 86785577584641.

146485775587680 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 8 + 57 + 7 + 558 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 146485775587680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224327374234 + ... + 224327374886.

It is an arithmetic number, because the mean of its divisors is an integer number (458564416128).

Almost surely, 2^{146485775587680} is an apocalyptic number.

146485775587680 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 146485775587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264133103689728).

146485775587680 is an abundant number, since it is smaller than the sum of its proper divisors (381780431791776).

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

146485775587680 is a wasteful number, since it uses less digits than its factorization.

146485775587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 12644352000, while the sum is 81.

The spelling of 146485775587680 in words is "one hundred forty-six trillion, four hundred eighty-five billion, seven hundred seventy-five million, five hundred eighty-seven thousand, six hundred eighty".