148086328320 has 1056 divisors, whose sum is σ = 627627886080. Its totient is φ = 31531991040.

The previous prime is 148086328319. The next prime is 148086328349. The reversal of 148086328320 is 23823680841.

148086328320 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 8 + 632 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447390555 + ... + 447390885.

Almost surely, 2^148086328320 is an apocalyptic number.

148086328320 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 148086328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313813943040).

148086328320 is an abundant number, since it is smaller than the sum of its proper divisors (479541557760).

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

148086328320 is a wasteful number, since it uses less digits than its factorization.

148086328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 148086328320 in words is "one hundred forty-eight billion, eighty-six million, three hundred twenty-eight thousand, three hundred twenty".