48964456195200 has 1920 divisors, whose sum is σ = 226039547543040. Its totient is φ = 10161303552000.

The previous prime is 48964456195199. The next prime is 48964456195241. The reversal of 48964456195200 is 259165446984.

48964456195200 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 4 + 4 + 5 + 619 + 5 + 2 + 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 (63).

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, 1438802185 + ... + 1438836215.

It is an arithmetic number, because the mean of its divisors is an integer number (117728931012).

Almost surely, 2^{48964456195200} is an apocalyptic number.

48964456195200 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 48964456195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113019773771520).

48964456195200 is an abundant number, since it is smaller than the sum of its proper divisors (177075091347840).

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

48964456195200 is a wasteful number, since it uses less digits than its factorization.

48964456195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34148 (or 34122 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 48964456195200 in words is "forty-eight trillion, nine hundred sixty-four billion, four hundred fifty-six million, one hundred ninety-five thousand, two hundred".