22266308198400 has 1824 divisors, whose sum is σ = 92268606431232. Its totient is φ = 4620445286400.

The previous prime is 22266308198357. The next prime is 22266308198411. The reversal of 22266308198400 is 489180366222.

It is a happy number.

It is a super-2 number, since 2×22266308198400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72528691047 + ... + 72528691353.

Almost surely, 2^{22266308198400} is an apocalyptic number.

22266308198400 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 22266308198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46134303215616).

22266308198400 is an abundant number, since it is smaller than the sum of its proper divisors (70002298232832).

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

22266308198400 is an equidigital number, since it uses as much as digits as its factorization.

22266308198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 22266308198400 in words is "twenty-two trillion, two hundred sixty-six billion, three hundred eight million, one hundred ninety-eight thousand, four hundred".