16351295490432 has 768 divisors, whose sum is σ = 56921339904000. Its totient is φ = 4500301897728.

The previous prime is 16351295490403. The next prime is 16351295490499. The reversal of 16351295490432 is 23409459215361.

16351295490432 is a `hidden beast` number, since 1 + 6 + 3 + 51 + 2 + 9 + 549 + 0 + 43 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1240325313 + ... + 1240338495.

It is an arithmetic number, because the mean of its divisors is an integer number (74116328000).

Almost surely, 2^{16351295490432} is an apocalyptic number.

16351295490432 is a gapful number since it is divisible by the number (12) 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 16351295490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28460669952000).

16351295490432 is an abundant number, since it is smaller than the sum of its proper divisors (40570044413568).

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

16351295490432 is a wasteful number, since it uses less digits than its factorization.

16351295490432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13340 (or 13311 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 16351295490432 in words is "sixteen trillion, three hundred fifty-one billion, two hundred ninety-five million, four hundred ninety thousand, four hundred thirty-two".