654409731858432 has 1344 divisors, whose sum is σ = 2028392095242240. Its totient is φ = 187466553753600.

The previous prime is 654409731858413. The next prime is 654409731858433. The reversal of 654409731858432 is 234858137904456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654409731858433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7352918335444 + ... + 7352918335532.

It is an arithmetic number, because the mean of its divisors is an integer number (1509220308960).

It is a 1-persistent number, because it is pandigital, but 2⋅654409731858432 = 1308819463716864 is not.

Almost surely, 2^{654409731858432} is an apocalyptic number.

654409731858432 is a gapful number since it is divisible by the number (62) 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 654409731858432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014196047621120).

654409731858432 is an abundant number, since it is smaller than the sum of its proper divisors (1373982363383808).

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

654409731858432 is an frugal number, since it uses more digits than its factorization.

654409731858432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 69.

The spelling of 654409731858432 in words is "six hundred fifty-four trillion, four hundred nine billion, seven hundred thirty-one million, eight hundred fifty-eight thousand, four hundred thirty-two".