35944556544 has 384 divisors, whose sum is σ = 118439193600. Its totient is φ = 10696458240.

The previous prime is 35944556503. The next prime is 35944556563. The reversal of 35944556544 is 44565544953.

35944556544 is a `hidden beast` number, since 3 + 5 + 9 + 4 + 45 + 56 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×35944556544² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22283482 + ... + 22285094.

It is an arithmetic number, because the mean of its divisors is an integer number (308435400).

Almost surely, 2^35944556544 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 35944556544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59219596800).

35944556544 is an abundant number, since it is smaller than the sum of its proper divisors (82494637056).

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

35944556544 is a wasteful number, since it uses less digits than its factorization.

35944556544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1662 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 35944556544 in words is "thirty-five billion, nine hundred forty-four million, five hundred fifty-six thousand, five hundred forty-four".