1616238556128 has 384 divisors, whose sum is σ = 5416603315200. Its totient is φ = 459292114944.

The previous prime is 1616238556123. The next prime is 1616238556139. The reversal of 1616238556128 is 8216558326161.

1616238556128 is a `hidden beast` number, since 1 + 6 + 1 + 62 + 3 + 8 + 556 + 1 + 28 = 666.

It is a super-2 number, since 2×1616238556128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616238556123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1724907276 + ... + 1724908212.

It is an arithmetic number, because the mean of its divisors is an integer number (14105737800).

Almost surely, 2^{1616238556128} is an apocalyptic number.

1616238556128 is a gapful number since it is divisible by the number (18) 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 1616238556128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708301657600).

1616238556128 is an abundant number, since it is smaller than the sum of its proper divisors (3800364759072).

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

1616238556128 is a wasteful number, since it uses less digits than its factorization.

1616238556128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2185 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 1616238556128 in words is "one trillion, six hundred sixteen billion, two hundred thirty-eight million, five hundred fifty-six thousand, one hundred twenty-eight".