132622224291648 has 1568 divisors, whose sum is σ = 497355593145600. Its totient is φ = 34849613352960.

The previous prime is 132622224291631. The next prime is 132622224291691. The reversal of 132622224291648 is 846192422226231.

132622224291648 is a `hidden beast` number, since 1 + 3 + 2 + 622 + 2 + 2 + 4 + 2 + 9 + 1 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132622224291594 and 132622224291603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 65948394963 + ... + 65948396973.

Almost surely, 2^{132622224291648} is an apocalyptic number.

132622224291648 is a gapful number since it is divisible by the number (18) 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 132622224291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248677796572800).

132622224291648 is an abundant number, since it is smaller than the sum of its proper divisors (364733368853952).

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

132622224291648 is an equidigital number, since it uses as much as digits as its factorization.

132622224291648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2353 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 132622224291648 in words is "one hundred thirty-two trillion, six hundred twenty-two billion, two hundred twenty-four million, two hundred ninety-one thousand, six hundred forty-eight".