48904495718400 has 2016 divisors, whose sum is σ = 210362459274240. Its totient is φ = 11030463774720.

The previous prime is 48904495718389. The next prime is 48904495718413. The reversal of 48904495718400 is 481759440984.

48904495718400 is a `hidden beast` number, since 4 + 8 + 9 + 0 + 449 + 5 + 7 + 184 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27520818312 + ... + 27520820088.

Almost surely, 2^{48904495718400} is an apocalyptic number.

48904495718400 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 48904495718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105181229637120).

48904495718400 is an abundant number, since it is smaller than the sum of its proper divisors (161457963555840).

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

48904495718400 is an equidigital number, since it uses as much as digits as its factorization.

48904495718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 48904495718400 in words is "forty-eight trillion, nine hundred four billion, four hundred ninety-five million, seven hundred eighteen thousand, four hundred".