45663710396400 has 240 divisors, whose sum is σ = 162669990225120. Its totient is φ = 12166424985600.

The previous prime is 45663710396399. The next prime is 45663710396413. The reversal of 45663710396400 is 469301736654.

45663710396400 is a `hidden beast` number, since 4 + 566 + 3 + 7 + 1 + 0 + 39 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10618870 + ... + 14285930.

It is an arithmetic number, because the mean of its divisors is an integer number (677791625938).

Almost surely, 2^{45663710396400} is an apocalyptic number.

45663710396400 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 45663710396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81334995112560).

45663710396400 is an abundant number, since it is smaller than the sum of its proper divisors (117006279828720).

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

45663710396400 is a wasteful number, since it uses less digits than its factorization.

45663710396400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668241 (or 3668224 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 45663710396400 in words is "forty-five trillion, six hundred sixty-three billion, seven hundred ten million, three hundred ninety-six thousand, four hundred".