2111090451456 has 352 divisors, whose sum is σ = 6832274192640. Its totient is φ = 566623862784.

The previous prime is 2111090451329. The next prime is 2111090451467. The reversal of 2111090451456 is 6541540901112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23028046 + ... + 23119538.

Almost surely, 2^{2111090451456} 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 2111090451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416137096320).

2111090451456 is an abundant number, since it is smaller than the sum of its proper divisors (4721183741184).

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

2111090451456 is a wasteful number, since it uses less digits than its factorization.

2111090451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91589 (or 91571 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 2111090451456 in words is "two trillion, one hundred eleven billion, ninety million, four hundred fifty-one thousand, four hundred fifty-six".