48267744000 has 864 divisors, whose sum is σ = 193093834752. Its totient is φ = 10644480000.

The previous prime is 48267743987. The next prime is 48267744061. The reversal of 48267744000 is 44776284.

48267744000 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 2×48267744000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 145823835 + ... + 145824165.

Almost surely, 2^48267744000 is an apocalyptic number.

48267744000 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 48267744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96546917376).

48267744000 is an abundant number, since it is smaller than the sum of its proper divisors (144826090752).

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

48267744000 is a wasteful number, since it uses less digits than its factorization.

48267744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 48267744000 in words is "forty-eight billion, two hundred sixty-seven million, seven hundred forty-four thousand".