120645837648 has 240 divisors, whose sum is σ = 399638012800. Its totient is φ = 33954826752.

The previous prime is 120645837617. The next prime is 120645837673. The reversal of 120645837648 is 846738546021.

It is a happy number.

120645837648 is a `hidden beast` number, since 12 + 0 + 6 + 4 + 583 + 7 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120645837594 and 120645837603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3291036 + ... + 3327492.

Almost surely, 2^120645837648 is an apocalyptic number.

120645837648 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 120645837648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199819006400).

120645837648 is an abundant number, since it is smaller than the sum of its proper divisors (278992175152).

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

120645837648 is a wasteful number, since it uses less digits than its factorization.

120645837648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36559 (or 36536 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 120645837648 in words is "one hundred twenty billion, six hundred forty-five million, eight hundred thirty-seven thousand, six hundred forty-eight".