148347699091200 has 2592 divisors, whose sum is σ = 656180113784832. Its totient is φ = 32451674112000.

The previous prime is 148347699091157. The next prime is 148347699091223. The reversal of 148347699091200 is 2190996743841.

148347699091200 is a `hidden beast` number, since 1 + 48 + 347 + 69 + 90 + 91 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23656144065 + ... + 23656150335.

It is an arithmetic number, because the mean of its divisors is an integer number (253155908096).

Almost surely, 2^{148347699091200} is an apocalyptic number.

148347699091200 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 148347699091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328090056892416).

148347699091200 is an abundant number, since it is smaller than the sum of its proper divisors (507832414693632).

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

148347699091200 is an equidigital number, since it uses as much as digits as its factorization.

148347699091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 148347699091200 in words is "one hundred forty-eight trillion, three hundred forty-seven billion, six hundred ninety-nine million, ninety-one thousand, two hundred".