1601234293248 has 560 divisors, whose sum is σ = 5099653076760. Its totient is φ = 500307591168.

The previous prime is 1601234293189. The next prime is 1601234293259. The reversal of 1601234293248 is 8423924321061.

1601234293248 is a `hidden beast` number, since 1 + 60 + 1 + 2 + 342 + 9 + 3 + 248 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1453741426944 + 147492866304 = 1205712^2 + 384048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2595193036 + ... + 2595193652.

Almost surely, 2^{1601234293248} is an apocalyptic number.

1601234293248 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 1601234293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549826538380).

1601234293248 is an abundant number, since it is smaller than the sum of its proper divisors (3498418783512).

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

1601234293248 is an frugal number, since it uses more digits than its factorization.

1601234293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1601234293248 in words is "one trillion, six hundred one billion, two hundred thirty-four million, two hundred ninety-three thousand, two hundred forty-eight".