149318313984 has 576 divisors, whose sum is σ = 522667192320. Its totient is φ = 40144896000.

The previous prime is 149318313983. The next prime is 149318314003. The reversal of 149318313984 is 489313813941.

149318313984 is a `hidden beast` number, since 1 + 4 + 9 + 318 + 313 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 149318313984.

It is not an unprimeable number, because it can be changed into a prime (149318313983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198825609 + ... + 198826359.

It is an arithmetic number, because the mean of its divisors is an integer number (907408320).

Almost surely, 2^149318313984 is an apocalyptic number.

149318313984 is a gapful number since it is divisible by the number (14) 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 149318313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261333596160).

149318313984 is an abundant number, since it is smaller than the sum of its proper divisors (373348878336).

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

149318313984 is a wasteful number, since it uses less digits than its factorization.

149318313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 853 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 149318313984 in words is "one hundred forty-nine billion, three hundred eighteen million, three hundred thirteen thousand, nine hundred eighty-four".