2186107977456 has 800 divisors, whose sum is σ = 7276474275840. Its totient is φ = 628885555200.

The previous prime is 2186107977451. The next prime is 2186107977499. The reversal of 2186107977456 is 6547797016812.

2186107977456 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 107 + 9 + 77 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2186107977393 and 2186107977402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2186107977451) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1879713931 + ... + 1879715093.

Almost surely, 2^{2186107977456} is an apocalyptic number.

2186107977456 is a gapful number since it is divisible by the number (26) 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 2186107977456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638237137920).

2186107977456 is an abundant number, since it is smaller than the sum of its proper divisors (5090366298384).

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

2186107977456 is a wasteful number, since it uses less digits than its factorization.

2186107977456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 2186107977456 in words is "two trillion, one hundred eighty-six billion, one hundred seven million, nine hundred seventy-seven thousand, four hundred fifty-six".