148243824640 has 480 divisors, whose sum is σ = 404276624640. Its totient is φ = 51904512000.

The previous prime is 148243824607. The next prime is 148243824649. The reversal of 148243824640 is 46428342841.

It is a super-2 number, since 2×148243824640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148243824649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1467760590 + ... + 1467760690.

It is an arithmetic number, because the mean of its divisors is an integer number (842242968).

Almost surely, 2^148243824640 is an apocalyptic number.

148243824640 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 148243824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202138312320).

148243824640 is an abundant number, since it is smaller than the sum of its proper divisors (256032800000).

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

148243824640 is a wasteful number, since it uses less digits than its factorization.

148243824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 46.

The spelling of 148243824640 in words is "one hundred forty-eight billion, two hundred forty-three million, eight hundred twenty-four thousand, six hundred forty".