45220930739712 has 960 divisors, whose sum is σ = 167505627953664. Its totient is φ = 11859970129920.

The previous prime is 45220930739687. The next prime is 45220930739807. The reversal of 45220930739712 is 21793703902254.

45220930739712 is a `hidden beast` number, since 4 + 5 + 2 + 209 + 30 + 7 + 397 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2049244903 + ... + 2049266969.

Almost surely, 2^{45220930739712} is an apocalyptic number.

45220930739712 is a gapful number since it is divisible by the number (42) 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 45220930739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83752813976832).

45220930739712 is an abundant number, since it is smaller than the sum of its proper divisors (122284697213952).

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

45220930739712 is a wasteful number, since it uses less digits than its factorization.

45220930739712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22301 (or 22273 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 45220930739712 in words is "forty-five trillion, two hundred twenty billion, nine hundred thirty million, seven hundred thirty-nine thousand, seven hundred twelve".