48293145600 has 792 divisors, whose sum is σ = 190806568848. Its totient is φ = 10734796800.

The previous prime is 48293145583. The next prime is 48293145601. The reversal of 48293145600 is 654139284.

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

It is not an unprimeable number, because it can be changed into a prime (48293145601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154291044 + ... + 154291356.

Almost surely, 2^48293145600 is an apocalyptic number.

48293145600 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 48293145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95403284424).

48293145600 is an abundant number, since it is smaller than the sum of its proper divisors (142513423248).

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

48293145600 is a wasteful number, since it uses less digits than its factorization.

48293145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 48293145600 in words is "forty-eight billion, two hundred ninety-three million, one hundred forty-five thousand, six hundred".