45147248640 has 960 divisors, whose sum is σ = 179805225600. Its totient is φ = 10765467648.

The previous prime is 45147248603. The next prime is 45147248717. The reversal of 45147248640 is 4684274154.

45147248640 is a `hidden beast` number, since 4 + 514 + 72 + 4 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 571484121 + ... + 571484199.

It is an arithmetic number, because the mean of its divisors is an integer number (187297110).

Almost surely, 2^45147248640 is an apocalyptic number.

45147248640 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 45147248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89902612800).

45147248640 is an abundant number, since it is smaller than the sum of its proper divisors (134657976960).

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

45147248640 is a wasteful number, since it uses less digits than its factorization.

45147248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 45147248640 in words is "forty-five billion, one hundred forty-seven million, two hundred forty-eight thousand, six hundred forty".