48661041520800 has 216 divisors, whose sum is σ = 177126191948160. Its totient is φ = 12557688076800.

The previous prime is 48661041520783. The next prime is 48661041520823. The reversal of 48661041520800 is 802514016684.

It is a happy number.

48661041520800 is a `hidden beast` number, since 4 + 8 + 6 + 6 + 1 + 0 + 41 + 520 + 80 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108784510 + ... + 109230909.

Almost surely, 2^{48661041520800} is an apocalyptic number.

48661041520800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48661041520800 is an abundant number, since it is smaller than the sum of its proper divisors (128465150427360).

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

48661041520800 is a wasteful number, since it uses less digits than its factorization.

48661041520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218015476 (or 218015460 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 48661041520800 in words is "forty-eight trillion, six hundred sixty-one billion, forty-one million, five hundred twenty thousand, eight hundred".