45354304000 has 320 divisors, whose sum is σ = 117890847360. Its totient is φ = 17388748800.

The previous prime is 45354303937. The next prime is 45354304043. The reversal of 45354304000 is 40345354.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 45354304000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253375911 + ... + 253376089.

It is an arithmetic number, because the mean of its divisors is an integer number (368408898).

Almost surely, 2^45354304000 is an apocalyptic number.

45354304000 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 45354304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58945423680).

45354304000 is an abundant number, since it is smaller than the sum of its proper divisors (72536543360).

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

45354304000 is a wasteful number, since it uses less digits than its factorization.

45354304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 45354304000 its reverse (40345354), we get a palindrome (45394649354).

The spelling of 45354304000 in words is "forty-five billion, three hundred fifty-four million, three hundred four thousand".