2111650735104 has 99 divisors (see below), whose sum is σ = 6097748509177. Its totient is φ = 703837077504.

The previous prime is 2111650735097. The next prime is 2111650735109. The reversal of 2111650735104 is 4015370561112.

The square root of 2111650735104 is 1453152.

It is a perfect power (a square), and thus also a powerful number.

2111650735104 is a `hidden beast` number, since 2 + 1 + 1 + 16 + 507 + 35 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1277804160000 + 833846575104 = 1130400^2 + 913152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111650735109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139495024 + ... + 139510160.

Almost surely, 2^{2111650735104} is an apocalyptic number.

2111650735104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2111650735104 is the 1453152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111650735104

2111650735104 is an abundant number, since it is smaller than the sum of its proper divisors (3986097774073).

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

2111650735104 is an frugal number, since it uses more digits than its factorization.

2111650735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30300 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 2111650735104 by its sum of digits (36), we get a square (76019426463744 = 8718912²).

2111650735104 divided by its sum of digits (36) gives a square (58656964864 = 242192²).

The spelling of 2111650735104 in words is "two trillion, one hundred eleven billion, six hundred fifty million, seven hundred thirty-five thousand, one hundred four".