601101052441344 has 1440 divisors, whose sum is σ = 2251049500170240. Its totient is φ = 155325512908800.

The previous prime is 601101052441321. The next prime is 601101052441363. The reversal of 601101052441344 is 443144250101106.

601101052441344 is a `hidden beast` number, since 6 + 0 + 110 + 1 + 0 + 524 + 4 + 13 + 4 + 4 = 666.

It is a super-2 number, since 2×601101052441344² (a number of 30 digits) contains 22 as substring.

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 = 601101052441299 and 601101052441308.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19528299234 + ... + 19528330014.

Almost surely, 2^{601101052441344} is an apocalyptic number.

601101052441344 is a gapful number since it is divisible by the number (64) 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 601101052441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125524750085120).

601101052441344 is an abundant number, since it is smaller than the sum of its proper divisors (1649948447728896).

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

601101052441344 is a wasteful number, since it uses less digits than its factorization.

601101052441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31039 (or 31016 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 601101052441344 in words is "six hundred one trillion, one hundred one billion, fifty-two million, four hundred forty-one thousand, three hundred forty-four".