149038223443200 has 7776 divisors, whose sum is σ = 749176161656832. Its totient is φ = 28970016768000.

The previous prime is 149038223443141. The next prime is 149038223443237. The reversal of 149038223443200 is 2344322830941.

149038223443200 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 382 + 23 + 4 + 43 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 706342291095 + ... + 706342291305.

Almost surely, 2^{149038223443200} is an apocalyptic number.

149038223443200 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 149038223443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374588080828416).

149038223443200 is an abundant number, since it is smaller than the sum of its proper divisors (600137938213632).

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

149038223443200 is a wasteful number, since it uses less digits than its factorization.

149038223443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 149038223443200 in words is "one hundred forty-nine trillion, thirty-eight billion, two hundred twenty-three million, four hundred forty-three thousand, two hundred".