48145208000 has 224 divisors, whose sum is σ = 122861344320. Its totient is φ = 18678374400.

The previous prime is 48145207997. The next prime is 48145208021. The reversal of 48145208000 is 80254184.

It is a happy number.

It is a super-2 number, since 2×48145208000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59511596 + ... + 59512404.

Almost surely, 2^48145208000 is an apocalyptic number.

48145208000 is a gapful number since it is divisible by the number (40) 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 48145208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61430672160).

48145208000 is an abundant number, since it is smaller than the sum of its proper divisors (74716136320).

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

48145208000 is a wasteful number, since it uses less digits than its factorization.

48145208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The spelling of 48145208000 in words is "forty-eight billion, one hundred forty-five million, two hundred eight thousand".