1601978394006 has 96 divisors (see below), whose sum is σ = 3636810897408. Its totient is φ = 508669983360.

The previous prime is 1601978393999. The next prime is 1601978394103. The reversal of 1601978394006 is 6004938791061.

1601978394006 is a `hidden beast` number, since 1 + 60 + 197 + 8 + 394 + 0 + 0 + 6 = 666.

It is a super-3 number, since 3×1601978394006³ (a number of 38 digits) contains 333 as substring.

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, 314913595 + ... + 314918681.

It is an arithmetic number, because the mean of its divisors is an integer number (37883446848).

Almost surely, 2^{1601978394006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601978394006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818405448704).

1601978394006 is an abundant number, since it is smaller than the sum of its proper divisors (2034832503402).

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

1601978394006 is a wasteful number, since it uses less digits than its factorization.

1601978394006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8106 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1601978394006 in words is "one trillion, six hundred one billion, nine hundred seventy-eight million, three hundred ninety-four thousand, six".