45264115000 has 480 divisors, whose sum is σ = 127807463520. Its totient is φ = 14936064000.

The previous prime is 45264114967. The next prime is 45264115007. The reversal of 45264115000 is 51146254.

45264115000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45264115000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45264115007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 330394932 + ... + 330395068.

It is an arithmetic number, because the mean of its divisors is an integer number (266265549).

Almost surely, 2^45264115000 is an apocalyptic number.

45264115000 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 45264115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63903731760).

45264115000 is an abundant number, since it is smaller than the sum of its proper divisors (82543348520).

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

45264115000 is a wasteful number, since it uses less digits than its factorization.

45264115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 45264115000 in words is "forty-five billion, two hundred sixty-four million, one hundred fifteen thousand".