45378819979776 has 640 divisors, whose sum is σ = 145788695712000. Its totient is φ = 13887835471872.

The previous prime is 45378819979729. The next prime is 45378819979783. The reversal of 45378819979776 is 67797991887354.

45378819979776 is a `hidden beast` number, since 4 + 5 + 378 + 81 + 9 + 9 + 7 + 97 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2497586820 + ... + 2497604988.

It is an arithmetic number, because the mean of its divisors is an integer number (227794837050).

Almost surely, 2^{45378819979776} 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 45378819979776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72894347856000).

45378819979776 is an abundant number, since it is smaller than the sum of its proper divisors (100409875732224).

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

45378819979776 is a wasteful number, since it uses less digits than its factorization.

45378819979776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18509 (or 18487 counting only the distinct ones).

The product of its digits is 40327580160, while the sum is 90.

The spelling of 45378819979776 in words is "forty-five trillion, three hundred seventy-eight billion, eight hundred nineteen million, nine hundred seventy-nine thousand, seven hundred seventy-six".