48914182800000 has 1920 divisors, whose sum is σ = 217004753306880. Its totient is φ = 10693140480000.

The previous prime is 48914182799971. The next prime is 48914182800011. The reversal of 48914182800000 is 828141984.

48914182800000 is a `hidden beast` number, since 489 + 14 + 1 + 82 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 5216395312 + ... + 5216404688.

It is an arithmetic number, because the mean of its divisors is an integer number (113023309014).

Almost surely, 2^{48914182800000} is an apocalyptic number.

48914182800000 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 48914182800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108502376653440).

48914182800000 is an abundant number, since it is smaller than the sum of its proper divisors (168090570506880).

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

48914182800000 is an frugal number, since it uses more digits than its factorization.

48914182800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9458 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 48914182800000 in words is "forty-eight trillion, nine hundred fourteen billion, one hundred eighty-two million, eight hundred thousand".