45364644415200 has 576 divisors, whose sum is σ = 163287978900480. Its totient is φ = 10847953920000.

The previous prime is 45364644415193. The next prime is 45364644415213. The reversal of 45364644415200 is 251444646354.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45364644415200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 717229977 + ... + 717293223.

It is an arithmetic number, because the mean of its divisors is an integer number (283486074480).

Almost surely, 2^{45364644415200} is an apocalyptic number.

45364644415200 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 45364644415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81643989450240).

45364644415200 is an abundant number, since it is smaller than the sum of its proper divisors (117923334485280).

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

45364644415200 is a wasteful number, since it uses less digits than its factorization.

45364644415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63651 (or 63638 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 45364644415200 in words is "forty-five trillion, three hundred sixty-four billion, six hundred forty-four million, four hundred fifteen thousand, two hundred".