45360899216640 has 1440 divisors, whose sum is σ = 191975342254080. Its totient is φ = 10007823974400.

The previous prime is 45360899216629. The next prime is 45360899216657. The reversal of 45360899216640 is 4661299806354.

45360899216640 is a `hidden beast` number, since 4 + 5 + 3 + 608 + 9 + 9 + 2 + 16 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×45360899216640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9471891366 + ... + 9471896154.

Almost surely, 2^{45360899216640} is an apocalyptic number.

45360899216640 is a gapful number since it is divisible by the number (40) 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 45360899216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95987671127040).

45360899216640 is an abundant number, since it is smaller than the sum of its proper divisors (146614443037440).

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

45360899216640 is a wasteful number, since it uses less digits than its factorization.

45360899216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 45360899216640 in words is "forty-five trillion, three hundred sixty billion, eight hundred ninety-nine million, two hundred sixteen thousand, six hundred forty".