45263280384 has 432 divisors, whose sum is σ = 157285800000. Its totient is φ = 12801245184.

The previous prime is 45263280379. The next prime is 45263280463. The reversal of 45263280384 is 48308236254.

45263280384 = 344³ + 345³ + ... + 664³.

45263280384 is a `hidden beast` number, since 4 + 5 + 2 + 632 + 8 + 0 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×45263280384² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36238992 + ... + 36240240.

It is an arithmetic number, because the mean of its divisors is an integer number (364087500).

Almost surely, 2^45263280384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45263280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78642900000).

45263280384 is an abundant number, since it is smaller than the sum of its proper divisors (112022519616).

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

45263280384 is a wasteful number, since it uses less digits than its factorization.

45263280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 45263280384 in words is "forty-five billion, two hundred sixty-three million, two hundred eighty thousand, three hundred eighty-four".