149033992816800 has 864 divisors, whose sum is σ = 646946138547072. Its totient is φ = 31437796515840.

The previous prime is 149033992816769. The next prime is 149033992816817. The reversal of 149033992816800 is 8618299330941.

149033992816800 is a `hidden beast` number, since 1 + 4 + 90 + 3 + 399 + 2 + 81 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×149033992816800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3424708642 + ... + 3424752158.

It is an arithmetic number, because the mean of its divisors is an integer number (748780252948).

Almost surely, 2^{149033992816800} is an apocalyptic number.

149033992816800 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 149033992816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323473069273536).

149033992816800 is an abundant number, since it is smaller than the sum of its proper divisors (497912145730272).

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

149033992816800 is a wasteful number, since it uses less digits than its factorization.

149033992816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48790 (or 48774 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 149033992816800 in words is "one hundred forty-nine trillion, thirty-three billion, nine hundred ninety-two million, eight hundred sixteen thousand, eight hundred".