35455794816 has 256 divisors, whose sum is σ = 107487273600. Its totient is φ = 10265149440.

The previous prime is 35455794799. The next prime is 35455794817. The reversal of 35455794816 is 61849755453.

It is a super-2 number, since 2×35455794816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (35455794817) by changing a digit.

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, 14889946 + ... + 14892326.

Almost surely, 2^35455794816 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 35455794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53743636800).

35455794816 is an abundant number, since it is smaller than the sum of its proper divisors (72031478784).

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

35455794816 is a wasteful number, since it uses less digits than its factorization.

35455794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2575 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 57.

The spelling of 35455794816 in words is "thirty-five billion, four hundred fifty-five million, seven hundred ninety-four thousand, eight hundred sixteen".