45459540000 has 720 divisors, whose sum is σ = 186876930240. Its totient is φ = 10264320000.

The previous prime is 45459539989. The next prime is 45459540001. The reversal of 45459540000 is 4595454.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45459540001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 137339835 + ... + 137340165.

It is an arithmetic number, because the mean of its divisors is an integer number (259551292).

Almost surely, 2^45459540000 is an apocalyptic number.

45459540000 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 45459540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93438465120).

45459540000 is an abundant number, since it is smaller than the sum of its proper divisors (141417390240).

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

45459540000 is a wasteful number, since it uses less digits than its factorization.

45459540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 45459540000 in words is "forty-five billion, four hundred fifty-nine million, five hundred forty thousand".