48829919364000 has 384 divisors, whose sum is σ = 187095698899200. Its totient is φ = 12335979110400.

The previous prime is 48829919363989. The next prime is 48829919364043. The reversal of 48829919364000 is 46391992884.

48829919364000 is a `hidden beast` number, since 488 + 2 + 9 + 9 + 1 + 93 + 64 + 0 + 0 + 0 = 666.

48829919364000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48829919364000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9846129 + ... + 13950128.

It is an arithmetic number, because the mean of its divisors is an integer number (487228382550).

Almost surely, 2^{48829919364000} is an apocalyptic number.

48829919364000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48829919364000 is an abundant number, since it is smaller than the sum of its proper divisors (138265779535200).

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

48829919364000 is a wasteful number, since it uses less digits than its factorization.

48829919364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23796310 (or 23796286 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 48829919364000 in words is "forty-eight trillion, eight hundred twenty-nine billion, nine hundred nineteen million, three hundred sixty-four thousand".