46253455435264 has 320 divisors, whose sum is σ = 122105304617472. Its totient is φ = 16945908940800.

The previous prime is 46253455435189. The next prime is 46253455435267.

It is a happy number.

46253455435264 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46253455435199 and 46253455435208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46253455435267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779422234 + ... + 779481574.

Almost surely, 2^{46253455435264} is an apocalyptic number.

46253455435264 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 46253455435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61052652308736).

46253455435264 is an abundant number, since it is smaller than the sum of its proper divisors (75851849182208).

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

46253455435264 is a wasteful number, since it uses less digits than its factorization.

46253455435264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60557 (or 60541 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 58.

The spelling of 46253455435264 in words is "forty-six trillion, two hundred fifty-three billion, four hundred fifty-five million, four hundred thirty-five thousand, two hundred sixty-four".