601612363655040 has 512 divisors, whose sum is σ = 1981117552803840. Its totient is φ = 155191984496640.

The previous prime is 601612363654979. The next prime is 601612363655071. The reversal of 601612363655040 is 40556363216106.

It is a super-3 number, since 3×601612363655040³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43878073785 + ... + 43878087495.

It is an arithmetic number, because the mean of its divisors is an integer number (3869370220320).

Almost surely, 2^{601612363655040} is an apocalyptic number.

601612363655040 is a gapful number since it is divisible by the number (60) 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 601612363655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990558776401920).

601612363655040 is an abundant number, since it is smaller than the sum of its proper divisors (1379505189148800).

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

601612363655040 is a wasteful number, since it uses less digits than its factorization.

601612363655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18850 (or 18838 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 601612363655040 in words is "six hundred one trillion, six hundred twelve billion, three hundred sixty-three million, six hundred fifty-five thousand, forty".