148635648000 has 880 divisors, whose sum is σ = 633373307424. Its totient is φ = 33973862400.

The previous prime is 148635647981. The next prime is 148635648019. The reversal of 148635648000 is 846536841.

It is a Jordan-Polya number, since it can be written as 8! ⋅ (5!)² ⋅ (2!)⁸.

148635648000 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 3 + 564 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148635647981) and next prime (148635648019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21233663997 + ... + 21233664003.

Almost surely, 2^148635648000 is an apocalyptic number.

148635648000 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 148635648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316686653712).

148635648000 is an abundant number, since it is smaller than the sum of its proper divisors (484737659424).

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

148635648000 is an frugal number, since it uses more digits than its factorization.

148635648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 148635648000 in words is "one hundred forty-eight billion, six hundred thirty-five million, six hundred forty-eight thousand".