45247652049600 has 6048 divisors, whose sum is σ = 231054091591680. Its totient is φ = 8530060492800.

The previous prime is 45247652049599. The next prime is 45247652049629. The reversal of 45247652049600 is 694025674254.

45247652049600 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 7 + 6 + 5 + 20 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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 863 ways as a sum of consecutive naturals, for example, 356280724737 + ... + 356280724863.

It is an arithmetic number, because the mean of its divisors is an integer number (38203388160).

Almost surely, 2^{45247652049600} is an apocalyptic number.

45247652049600 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 45247652049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115527045795840).

45247652049600 is an abundant number, since it is smaller than the sum of its proper divisors (185806439542080).

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

45247652049600 is a wasteful number, since it uses less digits than its factorization.

45247652049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 45247652049600 in words is "forty-five trillion, two hundred forty-seven billion, six hundred fifty-two million, forty-nine thousand, six hundred".