45181698827328 has 336 divisors, whose sum is σ = 154567846108800. Its totient is φ = 12904364067840.

The previous prime is 45181698827327. The next prime is 45181698827341. The reversal of 45181698827328 is 82372889618154.

45181698827328 is a `hidden beast` number, since 4 + 518 + 1 + 6 + 9 + 8 + 82 + 7 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45181698827327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236223958 + ... + 236415146.

Almost surely, 2^{45181698827328} is an apocalyptic number.

45181698827328 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 45181698827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77283923054400).

45181698827328 is an abundant number, since it is smaller than the sum of its proper divisors (109386147281472).

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

45181698827328 is a wasteful number, since it uses less digits than its factorization.

45181698827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194015 (or 193992 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 45181698827328 in words is "forty-five trillion, one hundred eighty-one billion, six hundred ninety-eight million, eight hundred twenty-seven thousand, three hundred twenty-eight".