16461314352 has 480 divisors, whose sum is σ = 56481384960. Its totient is φ = 4377784320.

The previous prime is 16461314351. The next prime is 16461314431. The reversal of 16461314352 is 25341316461.

16461314352 is a `hidden beast` number, since 1 + 6 + 4 + 613 + 1 + 4 + 35 + 2 = 666.

It is a super-2 number, since 2×16461314352² (a number of 21 digits) contains 22 as substring.

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 (16461314351) 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, 104849058 + ... + 104849214.

It is an arithmetic number, because the mean of its divisors is an integer number (117669552).

Almost surely, 2^16461314352 is an apocalyptic number.

16461314352 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 16461314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28240692480).

16461314352 is an abundant number, since it is smaller than the sum of its proper divisors (40020070608).

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

16461314352 is a wasteful number, since it uses less digits than its factorization.

16461314352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 16461314352 in words is "sixteen billion, four hundred sixty-one million, three hundred fourteen thousand, three hundred fifty-two".