16612396416 has 384 divisors, whose sum is σ = 60078620160. Its totient is φ = 4280279040.

The previous prime is 16612396403. The next prime is 16612396429. The reversal of 16612396416 is 61469321661.

16612396416 is a `hidden beast` number, since 16 + 612 + 3 + 9 + 6 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (16612396403) and next prime (16612396429).

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12151765 + ... + 12153131.

It is an arithmetic number, because the mean of its divisors is an integer number (156454740).

Almost surely, 2^16612396416 is an apocalyptic number.

16612396416 is a gapful number since it is divisible by the number (16) 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 16612396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30039310080).

16612396416 is an abundant number, since it is smaller than the sum of its proper divisors (43466223744).

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

16612396416 is a wasteful number, since it uses less digits than its factorization.

16612396416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1527 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 16612396416 in words is "sixteen billion, six hundred twelve million, three hundred ninety-six thousand, four hundred sixteen".