16149326400 has 315 divisors, whose sum is σ = 59529499051. Its totient is φ = 4294287360.

The previous prime is 16149326381. The next prime is 16149326419. The reversal of 16149326400 is 462394161.

The square root of 16149326400 is 127080.

It is a perfect power (a square), and thus also a powerful number.

16149326400 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 9 + 3 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16149326381) and next prime (16149326419).

It can be written as a sum of positive squares in 4 ways, for example, as 884229696 + 15265096704 = 29736^2 + 123552^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45748624 + ... + 45748976.

Almost surely, 2^16149326400 is an apocalyptic number.

16149326400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16149326400 is the 127080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16149326400

16149326400 is an abundant number, since it is smaller than the sum of its proper divisors (43380172651).

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

16149326400 is an frugal number, since it uses more digits than its factorization.

16149326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 16149326400 by its sum of digits (36), we get a square (581375750400 = 762480²).

16149326400 divided by its sum of digits (36) gives a square (448592400 = 21180²).

The spelling of 16149326400 in words is "sixteen billion, one hundred forty-nine million, three hundred twenty-six thousand, four hundred".