46435323260664 has 512 divisors, whose sum is σ = 141689743776000. Its totient is φ = 14005108998144.

The previous prime is 46435323260591. The next prime is 46435323260681. The reversal of 46435323260664 is 46606232353464.

46435323260664 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 5 + 3 + 23 + 2 + 606 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46435323260664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15289864554 + ... + 15289867590.

Almost surely, 2^{46435323260664} 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 46435323260664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70844871888000).

46435323260664 is an abundant number, since it is smaller than the sum of its proper divisors (95254420515336).

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

46435323260664 is a wasteful number, since it uses less digits than its factorization.

46435323260664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 54.

The spelling of 46435323260664 in words is "forty-six trillion, four hundred thirty-five billion, three hundred twenty-three million, two hundred sixty thousand, six hundred sixty-four".