16133679141300 has 1152 divisors, whose sum is σ = 62075386920960. Its totient is φ = 3518277120000.

The previous prime is 16133679141299. The next prime is 16133679141343. The reversal of 16133679141300 is 314197633161.

16133679141300 is a `hidden beast` number, since 1 + 6 + 1 + 336 + 7 + 9 + 1 + 4 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9028359007 + ... + 9028360793.

It is an arithmetic number, because the mean of its divisors is an integer number (53884884480).

Almost surely, 2^{16133679141300} is an apocalyptic number.

16133679141300 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 16133679141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31037693460480).

16133679141300 is an abundant number, since it is smaller than the sum of its proper divisors (45941707779660).

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

16133679141300 is a wasteful number, since it uses less digits than its factorization.

16133679141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 16133679141300 in words is "sixteen trillion, one hundred thirty-three billion, six hundred seventy-nine million, one hundred forty-one thousand, three hundred".