149948884800 has 2352 divisors, whose sum is σ = 694010580480. Its totient is φ = 31352832000.

The previous prime is 149948884751. The next prime is 149948884837. The reversal of 149948884800 is 8488849941.

149948884800 is a `hidden beast` number, since 149 + 9 + 4 + 8 + 8 + 8 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4837060785 + ... + 4837060815.

Almost surely, 2^149948884800 is an apocalyptic number.

149948884800 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 149948884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347005290240).

149948884800 is an abundant number, since it is smaller than the sum of its proper divisors (544061695680).

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

149948884800 is a wasteful number, since it uses less digits than its factorization.

149948884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 149948884800 in words is "one hundred forty-nine billion, nine hundred forty-eight million, eight hundred eighty-four thousand, eight hundred".