35557413144 has 128 divisors (see below), whose sum is σ = 99251308800. Its totient is φ = 10524968960.

The previous prime is 35557413131. The next prime is 35557413161. The reversal of 35557413144 is 44131475553.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 35557413096 and 35557413105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1941052 + ... + 1959284.

It is an arithmetic number, because the mean of its divisors is an integer number (775400850).

Almost surely, 2^35557413144 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 35557413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49625654400).

35557413144 is an abundant number, since it is smaller than the sum of its proper divisors (63693895656).

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

35557413144 is a wasteful number, since it uses less digits than its factorization.

35557413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18425 (or 18421 counting only the distinct ones).

The product of its digits is 504000, while the sum is 42.

Adding to 35557413144 its reverse (44131475553), we get a palindrome (79688888697).

The spelling of 35557413144 in words is "thirty-five billion, five hundred fifty-seven million, four hundred thirteen thousand, one hundred forty-four".