35452114000 has 80 divisors (see below), whose sum is σ = 85876624080. Its totient is φ = 14155468800.

The previous prime is 35452113971. The next prime is 35452114043. The reversal of 35452114000 is 41125453.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22388538384 + 13063575616 = 149628^2 + 114296^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122424 + ... + 1153576.

It is an arithmetic number, because the mean of its divisors is an integer number (1073457801).

Almost surely, 2^35452114000 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 35452114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42938312040).

35452114000 is an abundant number, since it is smaller than the sum of its proper divisors (50424510080).

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

35452114000 is a wasteful number, since it uses less digits than its factorization.

35452114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31745 (or 31729 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 35452114000 its reverse (41125453), we get a palindrome (35493239453).

The spelling of 35452114000 in words is "thirty-five billion, four hundred fifty-two million, one hundred fourteen thousand".