101678649408 has 336 divisors, whose sum is σ = 365739663744. Its totient is φ = 27341660160.

The previous prime is 101678649377. The next prime is 101678649421. The reversal of 101678649408 is 804946876101.

101678649408 is a `hidden beast` number, since 10 + 1 + 67 + 86 + 494 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 1823218 + ... + 1878158.

It is an arithmetic number, because the mean of its divisors is an integer number (1088510904).

Almost surely, 2^101678649408 is an apocalyptic number.

101678649408 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 101678649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182869831872).

101678649408 is an abundant number, since it is smaller than the sum of its proper divisors (264061014336).

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

101678649408 is an equidigital number, since it uses as much as digits as its factorization.

101678649408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54992 (or 54970 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 101678649408 in words is "one hundred one billion, six hundred seventy-eight million, six hundred forty-nine thousand, four hundred eight".