148493909356800 has 432 divisors, whose sum is σ = 564344934945792. Its totient is φ = 33682365849600.

The previous prime is 148493909356781. The next prime is 148493909356801. The reversal of 148493909356800 is 8653909394841.

148493909356800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148493909356800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148493909356801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13389357 + ... + 21823443.

Almost surely, 2^{148493909356800} is an apocalyptic number.

148493909356800 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 148493909356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282172467472896).

148493909356800 is an abundant number, since it is smaller than the sum of its proper divisors (415851025588992).

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

148493909356800 is a wasteful number, since it uses less digits than its factorization.

148493909356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8434254 (or 8434235 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 69.

The spelling of 148493909356800 in words is "one hundred forty-eight trillion, four hundred ninety-three billion, nine hundred nine million, three hundred fifty-six thousand, eight hundred".