16124020133364 has 216 divisors, whose sum is σ = 48152842264800. Its totient is φ = 4509625985280.

The previous prime is 16124020133341. The next prime is 16124020133387. The reversal of 16124020133364 is 46333102042161.

16124020133364 is a `hidden beast` number, since 1 + 6 + 1 + 240 + 20 + 1 + 33 + 364 = 666.

It is an interprime number because it is at equal distance from previous prime (16124020133341) and next prime (16124020133387).

It is a super-2 number, since 2×16124020133364² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 877297527 + ... + 877315905.

It is an arithmetic number, because the mean of its divisors is an integer number (222929825300).

Almost surely, 2^{16124020133364} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16124020133364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24076421132400).

16124020133364 is an abundant number, since it is smaller than the sum of its proper divisors (32028822131436).

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

16124020133364 is a wasteful number, since it uses less digits than its factorization.

16124020133364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31535 (or 31517 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 16124020133364 in words is "sixteen trillion, one hundred twenty-four billion, twenty million, one hundred thirty-three thousand, three hundred sixty-four".