148206678048000 has 3456 divisors, whose sum is σ = 658687976593920. Its totient is φ = 32520683520000.

The previous prime is 148206678047861. The next prime is 148206678048029. The reversal of 148206678048000 is 840876602841.

148206678048000 is a `hidden beast` number, since 1 + 4 + 8 + 20 + 6 + 67 + 80 + 480 + 0 + 0 = 666.

148206678048000 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 (3456).

It is a super-3 number, since 3×148206678048000³ (a number of 43 digits) contains 333 as substring.

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 383 ways as a sum of consecutive naturals, for example, 85127327130 + ... + 85127328870.

It is an arithmetic number, because the mean of its divisors is an integer number (190592585820).

Almost surely, 2^{148206678048000} is an apocalyptic number.

148206678048000 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 148206678048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329343988296960).

148206678048000 is an abundant number, since it is smaller than the sum of its proper divisors (510481298545920).

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

148206678048000 is a wasteful number, since it uses less digits than its factorization.

148206678048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 148206678048000 in words is "one hundred forty-eight trillion, two hundred six billion, six hundred seventy-eight million, forty-eight thousand".