46653455435664 has 320 divisors, whose sum is σ = 155162128416768. Its totient is φ = 11722761331200.

The previous prime is 46653455435593. The next prime is 46653455435669.

It is a happy number.

46653455435664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46653455435595 and 46653455435604.

It is not an unprimeable number, because it can be changed into a prime (46653455435669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332543997 + ... + 332684259.

Almost surely, 2^{46653455435664} is an apocalyptic number.

46653455435664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46653455435664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77581064208384).

46653455435664 is an abundant number, since it is smaller than the sum of its proper divisors (108508672981104).

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

46653455435664 is a wasteful number, since it uses less digits than its factorization.

46653455435664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143226 (or 143220 counting only the distinct ones).

The product of its digits is 1866240000, while the sum is 66.

The spelling of 46653455435664 in words is "forty-six trillion, six hundred fifty-three billion, four hundred fifty-five million, four hundred thirty-five thousand, six hundred sixty-four".