45811362169728 has 384 divisors, whose sum is σ = 141472859411520. Its totient is φ = 14178396930048.

The previous prime is 45811362169709. The next prime is 45811362169739. The reversal of 45811362169728 is 82796126311854.

It is a happy number.

45811362169728 is a `hidden beast` number, since 4 + 581 + 1 + 3 + 6 + 21 + 6 + 9 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594551301 + ... + 594628347.

Almost surely, 2^{45811362169728} is an apocalyptic number.

45811362169728 is a gapful number since it is divisible by the number (48) 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 45811362169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70736429705760).

45811362169728 is an abundant number, since it is smaller than the sum of its proper divisors (95661497241792).

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

45811362169728 is a wasteful number, since it uses less digits than its factorization.

45811362169728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77494 (or 77479 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 45811362169728 in words is "forty-five trillion, eight hundred eleven billion, three hundred sixty-two million, one hundred sixty-nine thousand, seven hundred twenty-eight".