45773313062400 has 4800 divisors, whose sum is σ = 231547806420480. Its totient is φ = 8635731148800.

The previous prime is 45773313062387. The next prime is 45773313062431. The reversal of 45773313062400 is 426031337754.

45773313062400 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 3 + 3 + 13 + 0 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 39357964219 + ... + 39357965381.

Almost surely, 2^{45773313062400} is an apocalyptic number.

45773313062400 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 45773313062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773903210240).

45773313062400 is an abundant number, since it is smaller than the sum of its proper divisors (185774493358080).

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

45773313062400 is a wasteful number, since it uses less digits than its factorization.

45773313062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 45773313062400 in words is "forty-five trillion, seven hundred seventy-three billion, three hundred thirteen million, sixty-two thousand, four hundred".