35666450456 has 96 divisors (see below), whose sum is σ = 85560027840. Its totient is φ = 13809503232.

The previous prime is 35666450399. The next prime is 35666450593. The reversal of 35666450456 is 65405466653.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165056 + ... + 313968.

It is an arithmetic number, because the mean of its divisors is an integer number (891250290).

Almost surely, 2^35666450456 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 35666450456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42780013920).

35666450456 is an abundant number, since it is smaller than the sum of its proper divisors (49893577384).

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

35666450456 is a wasteful number, since it uses less digits than its factorization.

35666450456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148993 (or 148982 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 50.

The spelling of 35666450456 in words is "thirty-five billion, six hundred sixty-six million, four hundred fifty thousand, four hundred fifty-six".