601291890432 has 288 divisors, whose sum is σ = 1817728872960. Its totient is φ = 198465666048.

The previous prime is 601291890431. The next prime is 601291890443. The reversal of 601291890432 is 234098192106.

601291890432 is a `hidden beast` number, since 6 + 0 + 129 + 1 + 8 + 90 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601291890431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57661603 + ... + 57672029.

Almost surely, 2^601291890432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601291890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908864436480).

601291890432 is an abundant number, since it is smaller than the sum of its proper divisors (1216436982528).

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

601291890432 is an equidigital number, since it uses as much as digits as its factorization.

601291890432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 601291890432 in words is "six hundred one billion, two hundred ninety-one million, eight hundred ninety thousand, four hundred thirty-two".