48045462336000 has 2240 divisors, whose sum is σ = 191649382404480. Its totient is φ = 11973198643200.

The previous prime is 48045462335987. The next prime is 48045462336017. The reversal of 48045462336000 is 63326454084.

48045462336000 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 5 + 4 + 6 + 2 + 33 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 73576511674 + ... + 73576512326.

It is an arithmetic number, because the mean of its divisors is an integer number (85557760002).

Almost surely, 2^{48045462336000} is an apocalyptic number.

48045462336000 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 48045462336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95824691202240).

48045462336000 is an abundant number, since it is smaller than the sum of its proper divisors (143603920068480).

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

48045462336000 is an frugal number, since it uses more digits than its factorization.

48045462336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 48045462336000 in words is "forty-eight trillion, forty-five billion, four hundred sixty-two million, three hundred thirty-six thousand".