2229025112064 has 299 divisors, whose sum is σ = 6687070344727. Its totient is φ = 743008370688.

The previous prime is 2229025112047. The next prime is 2229025112123. The reversal of 2229025112064 is 4602115209222.

The square root of 2229025112064 is 1492992.

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

It is a Jordan-Polya number, since it can be written as (4!)⁵ ⋅ (3!)⁷.

2229025112064 is a `hidden beast` number, since 2 + 229 + 0 + 251 + 120 + 64 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=864.

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 743008370687 + 743008370688 + 743008370689.

Almost surely, 2^{2229025112064} is an apocalyptic number.

2229025112064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2229025112064 is the 1492992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2229025112064

2229025112064 is an abundant number, since it is smaller than the sum of its proper divisors (4458045232663).

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

2229025112064 is an frugal number, since it uses more digits than its factorization.

2229025112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 2229025112064 by its sum of digits (36), we get a square (80244904034304 = 8957952²).

2229025112064 divided by its sum of digits (36) gives a 10-th power (61917364224 = 12¹⁰).

The spelling of 2229025112064 in words is "two trillion, two hundred twenty-nine billion, twenty-five million, one hundred twelve thousand, sixty-four".