601013532106416 has 640 divisors, whose sum is σ = 1873126612224000. Its totient is φ = 163644405350400.

The previous prime is 601013532106411. The next prime is 601013532106459. The reversal of 601013532106416 is 614601235310106.

It is a super-2 number, since 2×601013532106416² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (601013532106411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149468670486 + ... + 149468674506.

It is an arithmetic number, because the mean of its divisors is an integer number (2926760331600).

Almost surely, 2^{601013532106416} is an apocalyptic number.

601013532106416 is a gapful number since it is divisible by the number (66) 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 601013532106416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936563306112000).

601013532106416 is an abundant number, since it is smaller than the sum of its proper divisors (1272113080117584).

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

601013532106416 is a wasteful number, since it uses less digits than its factorization.

601013532106416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 601013532106416 in words is "six hundred one trillion, thirteen billion, five hundred thirty-two million, one hundred six thousand, four hundred sixteen".