148895851104000 has 10368 divisors, whose sum is σ = 788390495133696. Its totient is φ = 27196342272000.

The previous prime is 148895851103999. The next prime is 148895851104059. The reversal of 148895851104000 is 401158598841.

148895851104000 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 9 + 585 + 1 + 10 + 40 + 0 + 0 = 666.

148895851104000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (10368).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3167996831977 + ... + 3167996832023.

Almost surely, 2^{148895851104000} is an apocalyptic number.

148895851104000 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 148895851104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394195247566848).

148895851104000 is an abundant number, since it is smaller than the sum of its proper divisors (639494644029696).

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

148895851104000 is a wasteful number, since it uses less digits than its factorization.

148895851104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 148895851104000 in words is "one hundred forty-eight trillion, eight hundred ninety-five billion, eight hundred fifty-one million, one hundred four thousand".