149324313600000 has 4032 divisors, whose sum is σ = 709174679915520. Its totient is φ = 29328998400000.

The previous prime is 149324313599957. The next prime is 149324313600083. The reversal of 149324313600000 is 6313423941.

149324313600000 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 2 + 43 + 1 + 3 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×149324313600000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 337075199779 + ... + 337075200221.

It is an arithmetic number, because the mean of its divisors is an integer number (175886577360).

Almost surely, 2^{149324313600000} is an apocalyptic number.

149324313600000 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 149324313600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354587339957760).

149324313600000 is an abundant number, since it is smaller than the sum of its proper divisors (559850366315520).

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

149324313600000 is an equidigital number, since it uses as much as digits as its factorization.

149324313600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 149324313600000 in words is "one hundred forty-nine trillion, three hundred twenty-four billion, three hundred thirteen million, six hundred thousand".