148287984768000 has 2816 divisors, whose sum is σ = 693587877765120. Its totient is φ = 30349541376000.

The previous prime is 148287984767999. The next prime is 148287984768071. The reversal of 148287984768000 is 867489782841.

148287984768000 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 8 + 79 + 8 + 476 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a self number, because there is not a number n which added to its sum of digits gives 148287984768000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17829499842 + ... + 17829508158.

Almost surely, 2^{148287984768000} is an apocalyptic number.

148287984768000 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 148287984768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346793938882560).

148287984768000 is an abundant number, since it is smaller than the sum of its proper divisors (545299892997120).

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

148287984768000 is a wasteful number, since it uses less digits than its factorization.

148287984768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8446 (or 8412 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 148287984768000 in words is "one hundred forty-eight trillion, two hundred eighty-seven billion, nine hundred eighty-four million, seven hundred sixty-eight thousand".