422667528192 has 1536 divisors, whose sum is σ = 1678842547200. Its totient is φ = 103195607040.

The previous prime is 422667528191. The next prime is 422667528193. The reversal of 422667528192 is 291825766224.

422667528192 is a `hidden beast` number, since 4 + 2 + 26 + 6 + 7 + 528 + 1 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (422667528191) and next prime (422667528193).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×422667528192² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422667528191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6928975842 + ... + 6928975902.

It is an arithmetic number, because the mean of its divisors is an integer number (1092996450).

Almost surely, 2^422667528192 is an apocalyptic number.

422667528192 is a gapful number since it is divisible by the number (42) 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 422667528192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839421273600).

422667528192 is an abundant number, since it is smaller than the sum of its proper divisors (1256175019008).

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

422667528192 is an equidigital number, since it uses as much as digits as its factorization.

422667528192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 422667528192 in words is "four hundred twenty-two billion, six hundred sixty-seven million, five hundred twenty-eight thousand, one hundred ninety-two".