1670222261952 has 224 divisors, whose sum is σ = 5005535693760. Its totient is φ = 545936302080.

The previous prime is 1670222261951. The next prime is 1670222261957. The reversal of 1670222261952 is 2591622220761.

1670222261952 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 2 + 2 + 22 + 619 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1670222261898 and 1670222261907.

It is not an unprimeable number, because it can be changed into a prime (1670222261951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219156702 + ... + 219164322.

It is an arithmetic number, because the mean of its divisors is an integer number (22346141490).

Almost surely, 2^{1670222261952} is an apocalyptic number.

1670222261952 is a gapful number since it is divisible by the number (12) 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 1670222261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502767846880).

1670222261952 is an abundant number, since it is smaller than the sum of its proper divisors (3335313431808).

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

1670222261952 is a wasteful number, since it uses less digits than its factorization.

1670222261952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10088 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1670222261952 in words is "one trillion, six hundred seventy billion, two hundred twenty-two million, two hundred sixty-one thousand, nine hundred fifty-two".