1601256120048 has 80 divisors (see below), whose sum is σ = 4949751841440. Its totient is φ = 492694189056.

The previous prime is 1601256120031. The next prime is 1601256120049. The reversal of 1601256120048 is 8400216521061.

It is a happy number.

1601256120048 is a `hidden beast` number, since 1 + 60 + 12 + 561 + 20 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1601256119994 and 1601256120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601256120049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142556361 + ... + 142567592.

It is an arithmetic number, because the mean of its divisors is an integer number (61871898018).

Almost surely, 2^{1601256120048} is an apocalyptic number.

1601256120048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1601256120048 is an abundant number, since it is smaller than the sum of its proper divisors (3348495721392).

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

1601256120048 is a wasteful number, since it uses less digits than its factorization.

1601256120048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285123983 (or 285123971 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1601256120048 in words is "one trillion, six hundred one billion, two hundred fifty-six million, one hundred twenty thousand, forty-eight".