140436446033664 has 1296 divisors, whose sum is σ = 466637265241056. Its totient is φ = 40265397043200.

The previous prime is 140436446033641. The next prime is 140436446033677. The reversal of 140436446033664 is 466330644634041.

140436446033664 is a `hidden beast` number, since 140 + 4 + 3 + 6 + 4 + 460 + 3 + 36 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 140436446033664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208672282032 + ... + 208672282704.

Almost surely, 2^{140436446033664} 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 140436446033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233318632620528).

140436446033664 is an abundant number, since it is smaller than the sum of its proper divisors (326200819207392).

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

140436446033664 is a wasteful number, since it uses less digits than its factorization.

140436446033664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 54.

The spelling of 140436446033664 in words is "one hundred forty trillion, four hundred thirty-six billion, four hundred forty-six million, thirty-three thousand, six hundred sixty-four".