35663005643352 has 128 divisors (see below), whose sum is σ = 94460522112000. Its totient is φ = 11200884065280.

The previous prime is 35663005643347. The next prime is 35663005643357. The reversal of 35663005643352 is 25334650036653.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (35663005643347) and next prime (35663005643357).

It is a junction number, because it is equal to n+sod(n) for n = 35663005643295 and 35663005643304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35663005643357) 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, 33260977 + ... + 34316447.

It is an arithmetic number, because the mean of its divisors is an integer number (737972829000).

Almost surely, 2^{35663005643352} 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 35663005643352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47230261056000).

35663005643352 is an abundant number, since it is smaller than the sum of its proper divisors (58797516468648).

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

35663005643352 is a wasteful number, since it uses less digits than its factorization.

35663005643352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056681 (or 1056677 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 51.

The spelling of 35663005643352 in words is "thirty-five trillion, six hundred sixty-three billion, five million, six hundred forty-three thousand, three hundred fifty-two".