102683147643648 has 864 divisors, whose sum is σ = 359873277603840. Its totient is φ = 27731496960000.

The previous prime is 102683147643647. The next prime is 102683147643673. The reversal of 102683147643648 is 846346741386201.

102683147643648 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 83 + 1 + 476 + 43 + 6 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (102683147643647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4483772998 + ... + 4483795898.

Almost surely, 2^{102683147643648} is an apocalyptic number.

102683147643648 is a gapful number since it is divisible by the number (18) 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 102683147643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179936638801920).

102683147643648 is an abundant number, since it is smaller than the sum of its proper divisors (257190129960192).

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

102683147643648 is a wasteful number, since it uses less digits than its factorization.

102683147643648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23417 (or 23400 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 102683147643648 in words is "one hundred two trillion, six hundred eighty-three billion, one hundred forty-seven million, six hundred forty-three thousand, six hundred forty-eight".