83835241860384 has 96 divisors (see below), whose sum is σ = 279450806221440. Its totient is φ = 23952926244096.

The previous prime is 83835241860379. The next prime is 83835241860427. The reversal of 83835241860384 is 48306814253838.

83835241860384 is a `hidden beast` number, since 8 + 3 + 8 + 3 + 5 + 2 + 4 + 18 + 603 + 8 + 4 = 666.

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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6930817519 + ... + 6930829614.

It is an arithmetic number, because the mean of its divisors is an integer number (2910945898140).

Almost surely, 2^{83835241860384} is an apocalyptic number.

83835241860384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83835241860384 is an abundant number, since it is smaller than the sum of its proper divisors (195615564361056).

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

83835241860384 is a wasteful number, since it uses less digits than its factorization.

83835241860384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13861647159 (or 13861647145 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 83835241860384 in words is "eighty-three trillion, eight hundred thirty-five billion, two hundred forty-one million, eight hundred sixty thousand, three hundred eighty-four".