16346211840 has 360 divisors, whose sum is σ = 65858775840. Its totient is φ = 3736018944.

The previous prime is 16346211821. The next prime is 16346211853. The reversal of 16346211840 is 4811264361.

16346211840 is a `hidden beast` number, since 1 + 634 + 6 + 2 + 1 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16346211795 and 16346211804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1121721 + ... + 1136199.

It is an arithmetic number, because the mean of its divisors is an integer number (182941044).

Almost surely, 2^16346211840 is an apocalyptic number.

16346211840 is a gapful number since it is divisible by the number (10) 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 16346211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32929387920).

16346211840 is an abundant number, since it is smaller than the sum of its proper divisors (49512564000).

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

16346211840 is a wasteful number, since it uses less digits than its factorization.

16346211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14522 (or 14496 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16346211840 in words is "sixteen billion, three hundred forty-six million, two hundred eleven thousand, eight hundred forty".