35623011352152 has 128 divisors (see below), whose sum is σ = 102450870720000. Its totient is φ = 10111138329600.

The previous prime is 35623011352151. The next prime is 35623011352157. The reversal of 35623011352152 is 25125311032653.

35623011352152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×35623011352152² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35623011352152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35623011352151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14485974 + ... + 16765722.

It is an arithmetic number, because the mean of its divisors is an integer number (800397427500).

Almost surely, 2^{35623011352152} 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 35623011352152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51225435360000).

35623011352152 is an abundant number, since it is smaller than the sum of its proper divisors (66827859367848).

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

35623011352152 is a wasteful number, since it uses less digits than its factorization.

35623011352152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280377 (or 2280373 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 35623011352152 in words is "thirty-five trillion, six hundred twenty-three billion, eleven million, three hundred fifty-two thousand, one hundred fifty-two".