346452146422632 has 448 divisors, whose sum is σ = 1098699566544000. Its totient is φ = 101820777518592.

The previous prime is 346452146422589. The next prime is 346452146422667. The reversal of 346452146422632 is 236224641254643.

346452146422632 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 521 + 4 + 64 + 2 + 26 + 32 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 92460594 + ... + 96134622.

Almost surely, 2^{346452146422632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346452146422632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549349783272000).

346452146422632 is an abundant number, since it is smaller than the sum of its proper divisors (752247420121368).

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

346452146422632 is a wasteful number, since it uses less digits than its factorization.

346452146422632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674132 (or 3674113 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 54.

The spelling of 346452146422632 in words is "three hundred forty-six trillion, four hundred fifty-two billion, one hundred forty-six million, four hundred twenty-two thousand, six hundred thirty-two".