2139816814416 has 480 divisors, whose sum is σ = 6593113013760. Its totient is φ = 670743908352.

The previous prime is 2139816814411. The next prime is 2139816814469. The reversal of 2139816814416 is 6144186189312.

2139816814416 is a `hidden beast` number, since 2 + 1 + 39 + 8 + 168 + 1 + 441 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139816814411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1234746286 + ... + 1234748018.

It is an arithmetic number, because the mean of its divisors is an integer number (13735652112).

Almost surely, 2^{2139816814416} 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 2139816814416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296556506880).

2139816814416 is an abundant number, since it is smaller than the sum of its proper divisors (4453296199344).

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

2139816814416 is a wasteful number, since it uses less digits than its factorization.

2139816814416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2047 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 2139816814416 in words is "two trillion, one hundred thirty-nine billion, eight hundred sixteen million, eight hundred fourteen thousand, four hundred sixteen".