45344634530400 has 432 divisors, whose sum is σ = 160403598731376. Its totient is φ = 12053588520960.

The previous prime is 45344634530317. The next prime is 45344634530407. The reversal of 45344634530400 is 403543644354.

It is a happy number.

45344634530400 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 4 + 634 + 5 + 3 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×45344634530400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45344634530407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10025342539 + ... + 10025347061.

It is an arithmetic number, because the mean of its divisors is an integer number (371304626693).

Almost surely, 2^{45344634530400} is an apocalyptic number.

45344634530400 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 45344634530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80201799365688).

45344634530400 is an abundant number, since it is smaller than the sum of its proper divisors (115058964200976).

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

45344634530400 is a wasteful number, since it uses less digits than its factorization.

45344634530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8655 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

The spelling of 45344634530400 in words is "forty-five trillion, three hundred forty-four billion, six hundred thirty-four million, five hundred thirty thousand, four hundred".