45020274768 has 320 divisors, whose sum is σ = 154052362240. Its totient is φ = 12317184000.

The previous prime is 45020274757. The next prime is 45020274797. The reversal of 45020274768 is 86747202054.

It is a happy number.

45020274768 is a `hidden beast` number, since 4 + 502 + 0 + 2 + 74 + 76 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9090693 + ... + 9095643.

It is an arithmetic number, because the mean of its divisors is an integer number (481413632).

Almost surely, 2^45020274768 is an apocalyptic number.

45020274768 is a gapful number since it is divisible by the number (48) 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 45020274768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77026181120).

45020274768 is an abundant number, since it is smaller than the sum of its proper divisors (109032087472).

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

45020274768 is a wasteful number, since it uses less digits than its factorization.

45020274768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 45020274768 in words is "forty-five billion, twenty million, two hundred seventy-four thousand, seven hundred sixty-eight".