45134064000 has 512 divisors, whose sum is σ = 167419699200. Its totient is φ = 11950848000.

The previous prime is 45134063999. The next prime is 45134064023. The reversal of 45134064000 is 46043154.

45134064000 is a `hidden beast` number, since 4 + 5 + 13 + 4 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82511727 + ... + 82512273.

It is an arithmetic number, because the mean of its divisors is an integer number (326991600).

Almost surely, 2^45134064000 is an apocalyptic number.

45134064000 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 45134064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83709849600).

45134064000 is an abundant number, since it is smaller than the sum of its proper divisors (122285635200).

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

45134064000 is a wasteful number, since it uses less digits than its factorization.

45134064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 45134064000 in words is "forty-five billion, one hundred thirty-four million, sixty-four thousand".