148214949811200 has 660 divisors, whose sum is σ = 549660411833280. Its totient is φ = 39463647068160.

The previous prime is 148214949811171. The next prime is 148214949811217. The reversal of 148214949811200 is 2118949412841.

148214949811200 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 149 + 498 + 1 + 1 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1366448169 + ... + 1366556631.

It is an arithmetic number, because the mean of its divisors is an integer number (832818805808).

Almost surely, 2^{148214949811200} is an apocalyptic number.

148214949811200 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 148214949811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274830205916640).

148214949811200 is an abundant number, since it is smaller than the sum of its proper divisors (401445462022080).

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

148214949811200 is a wasteful number, since it uses less digits than its factorization.

148214949811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109164 (or 109132 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 148214949811200 in words is "one hundred forty-eight trillion, two hundred fourteen billion, nine hundred forty-nine million, eight hundred eleven thousand, two hundred".