6401514260232 has 576 divisors, whose sum is σ = 22362277392000. Its totient is φ = 1638760273920.

The previous prime is 6401514260227. The next prime is 6401514260233. The reversal of 6401514260232 is 2320624151046.

6401514260232 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 5 + 1 + 42 + 602 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6401514260233) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 374195823 + ... + 374212929.

It is an arithmetic number, because the mean of its divisors is an integer number (38823398250).

Almost surely, 2^{6401514260232} 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 6401514260232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11181138696000).

6401514260232 is an abundant number, since it is smaller than the sum of its proper divisors (15960763131768).

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

6401514260232 is a wasteful number, since it uses less digits than its factorization.

6401514260232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17386 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 6401514260232 in words is "six trillion, four hundred one billion, five hundred fourteen million, two hundred sixty thousand, two hundred thirty-two".