16349465952 has 384 divisors, whose sum is σ = 52871616000. Its totient is φ = 4894525440.

The previous prime is 16349465939. The next prime is 16349465963. The reversal of 16349465952 is 25956494361.

16349465952 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 9 + 46 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 29039623 + ... + 29040185.

It is an arithmetic number, because the mean of its divisors is an integer number (137686500).

Almost surely, 2^16349465952 is an apocalyptic number.

16349465952 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 16349465952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26435808000).

16349465952 is an abundant number, since it is smaller than the sum of its proper divisors (36522150048).

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

16349465952 is a wasteful number, since it uses less digits than its factorization.

16349465952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 677 counting only the distinct ones).

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

The spelling of 16349465952 in words is "sixteen billion, three hundred forty-nine million, four hundred sixty-five thousand, nine hundred fifty-two".