222061694400 has 1680 divisors, whose sum is σ = 1058547804160. Its totient is φ = 44341862400.

The previous prime is 222061694399. The next prime is 222061694411. The reversal of 222061694400 is 4496160222.

222061694400 is a `hidden beast` number, since 2 + 2 + 206 + 1 + 6 + 9 + 440 + 0 = 666.

222061694400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×222061694400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 224077905 + ... + 224078895.

Almost surely, 2^222061694400 is an apocalyptic number.

222061694400 is a gapful number since it is divisible by the number (20) 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 222061694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529273902080).

222061694400 is an abundant number, since it is smaller than the sum of its proper divisors (836486109760).

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

222061694400 is a wasteful number, since it uses less digits than its factorization.

222061694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 222061694400 in words is "two hundred twenty-two billion, sixty-one million, six hundred ninety-four thousand, four hundred".