1616038978104 has 192 divisors, whose sum is σ = 4514583191040. Its totient is φ = 521997281280.

The previous prime is 1616038978097. The next prime is 1616038978207. The reversal of 1616038978104 is 4018798306161.

1616038978104 is a `hidden beast` number, since 1 + 616 + 0 + 3 + 8 + 9 + 7 + 8 + 10 + 4 = 666.

It is a super-2 number, since 2×1616038978104² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348507274 + ... + 348511910.

It is an arithmetic number, because the mean of its divisors is an integer number (23513454120).

Almost surely, 2^{1616038978104} 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 1616038978104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257291595520).

1616038978104 is an abundant number, since it is smaller than the sum of its proper divisors (2898544212936).

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

1616038978104 is a wasteful number, since it uses less digits than its factorization.

1616038978104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1616038978104 in words is "one trillion, six hundred sixteen billion, thirty-eight million, nine hundred seventy-eight thousand, one hundred four".