48185581944960 has 96 divisors (see below), whose sum is σ = 166390837673580. Its totient is φ = 12849488517120.

The previous prime is 48185581944949. The next prime is 48185581944989. The reversal of 48185581944960 is 6944918558184.

It is a happy number.

48185581944960 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 55 + 81 + 9 + 4 + 496 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44090981130816 + 4094600814144 = 6640104^2 + 2023512^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4182770451 + ... + 4182781970.

Almost surely, 2^{48185581944960} is an apocalyptic number.

48185581944960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48185581944960 is an abundant number, since it is smaller than the sum of its proper divisors (118205255728620).

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

48185581944960 is a wasteful number, since it uses less digits than its factorization.

48185581944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8365552446 (or 8365552431 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 48185581944960 in words is "forty-eight trillion, one hundred eighty-five billion, five hundred eighty-one million, nine hundred forty-four thousand, nine hundred sixty".