222465577478400 has 729 divisors, whose sum is σ = 824121316954299. Its totient is φ = 57251765329920.

The previous prime is 222465577478377. The next prime is 222465577478411. The reversal of 222465577478400 is 4874775564222.

The square root of 222465577478400 is 14915280.

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

222465577478400 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 6 + 55 + 77 + 478 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3057909721344 + 219407667757056 = 1748688^2 + 14812416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 103810347729 + ... + 103810349871.

Almost surely, 2^{222465577478400} is an apocalyptic number.

222465577478400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

222465577478400 is the 14915280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222465577478400

222465577478400 is an abundant number, since it is smaller than the sum of its proper divisors (601655739475899).

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

222465577478400 is an frugal number, since it uses more digits than its factorization.

222465577478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 210739200, while the sum is 63.

The spelling of 222465577478400 in words is "two hundred twenty-two trillion, four hundred sixty-five billion, five hundred seventy-seven million, four hundred seventy-eight thousand, four hundred".