45301319280 has 480 divisors, whose sum is σ = 187382292480. Its totient is φ = 10019842560.

The previous prime is 45301319267. The next prime is 45301319309. The reversal of 45301319280 is 8291310354.

45301319280 is a `hidden beast` number, since 4 + 530 + 1 + 31 + 92 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3274137 + ... + 3287943.

It is an arithmetic number, because the mean of its divisors is an integer number (390379776).

Almost surely, 2^45301319280 is an apocalyptic number.

45301319280 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 45301319280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93691146240).

45301319280 is an abundant number, since it is smaller than the sum of its proper divisors (142080973200).

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

45301319280 is a wasteful number, since it uses less digits than its factorization.

45301319280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 45301319280 in words is "forty-five billion, three hundred one million, three hundred nineteen thousand, two hundred eighty".