35330493148032 has 64 divisors (see below), whose sum is σ = 93871110191760. Its totient is φ = 11773758074880.

The previous prime is 35330493148007. The next prime is 35330493148033. The reversal of 35330493148032 is 23084139403353.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×35330493148032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35330493148033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10530019 + ... + 13473762.

Almost surely, 2^{35330493148032} is an apocalyptic number.

35330493148032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35330493148032 is an abundant number, since it is smaller than the sum of its proper divisors (58540617043728).

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

35330493148032 is a wasteful number, since it uses less digits than its factorization.

35330493148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24007631 (or 24007619 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 35330493148032 in words is "thirty-five trillion, three hundred thirty billion, four hundred ninety-three million, one hundred forty-eight thousand, thirty-two".