45621984844800 has 4752 divisors, whose sum is σ = 220083831545760. Its totient is φ = 9270405365760.

The previous prime is 45621984844781. The next prime is 45621984844801. The reversal of 45621984844800 is 844848912654.

45621984844800 is a `hidden beast` number, since 4 + 5 + 6 + 21 + 98 + 48 + 4 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45621984844801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 114916838202 + ... + 114916838598.

Almost surely, 2^{45621984844800} is an apocalyptic number.

45621984844800 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 45621984844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110041915772880).

45621984844800 is an abundant number, since it is smaller than the sum of its proper divisors (174461846700960).

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

45621984844800 is a wasteful number, since it uses less digits than its factorization.

45621984844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 45621984844800 in words is "forty-five trillion, six hundred twenty-one billion, nine hundred eighty-four million, eight hundred forty-four thousand, eight hundred".