48046630376800 has 288 divisors, whose sum is σ = 128619581819904. Its totient is φ = 17381129472000.

The previous prime is 48046630376783. The next prime is 48046630376869. The reversal of 48046630376800 is 867303664084.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3133945135 + ... + 3133960465.

It is an arithmetic number, because the mean of its divisors is an integer number (446595770208).

Almost surely, 2^{48046630376800} is an apocalyptic number.

48046630376800 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 48046630376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64309790909952).

48046630376800 is an abundant number, since it is smaller than the sum of its proper divisors (80572951443104).

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

48046630376800 is a wasteful number, since it uses less digits than its factorization.

48046630376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17182 (or 17169 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 55.

The spelling of 48046630376800 in words is "forty-eight trillion, forty-six billion, six hundred thirty million, three hundred seventy-six thousand, eight hundred".