45097649280 has 768 divisors, whose sum is σ = 171085824000. Its totient is φ = 10912112640.

The previous prime is 45097649251. The next prime is 45097649321. The reversal of 45097649280 is 8294679054.

45097649280 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 76 + 492 + 80 = 666.

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, 324443451 + ... + 324443589.

It is an arithmetic number, because the mean of its divisors is an integer number (222768000).

Almost surely, 2^45097649280 is an apocalyptic number.

45097649280 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 45097649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85542912000).

45097649280 is an abundant number, since it is smaller than the sum of its proper divisors (125988174720).

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

45097649280 is a wasteful number, since it uses less digits than its factorization.

45097649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 45097649280 in words is "forty-five billion, ninety-seven million, six hundred forty-nine thousand, two hundred eighty".